Solved on Dec 15, 2023

Simplify the expression: $3.2 - 9x + 7.1 - 3x$ .

STEP 1

Assumptions
1. We are given an algebraic expression $3.2 - 9x + 7.1 - 3x$ .
2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-9x$ and $-3x$ are like terms because they both contain the variable $x$ raised to the first power.

STEP 3

Combine the like terms involving the variable $x$ by adding their coefficients.
The coefficients of $-9x$ and $-3x$ are $-9$ and $-3$ , respectively.
$-9 + (-3) = -9 - 3$

STEP 4

Calculate the sum of the coefficients.
$-9 - 3 = -12$

STEP 5

Combine the like terms involving the variable $x$ using the sum of their coefficients.
$-9x - 3x = -12x$

STEP 6

Now, identify the constant terms in the expression. Constant terms are terms without variables.
In the given expression, $3.2$ and $7.1$ are constant terms.

STEP 7

Combine the constant terms by adding their values.
$3.2 + 7.1$

STEP 8

Calculate the sum of the constant terms.
$3.2 + 7.1 = 10.3$

STEP 9

Combine the simplified like terms to write the final simplified expression.
$10.3 - 12x$
The simplified expression is $10.3 - 12x$ .

Was this helpful?

Simplify the expression: $3.2 - 9x + 7.1 - 3x$ .

STEP 1

Assumptions
1. We are given an algebraic expression $3.2 - 9x + 7.1 - 3x$ .
2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-9x$ and $-3x$ are like terms because they both contain the variable $x$ raised to the first power.

STEP 3

Combine the like terms involving the variable $x$ by adding their coefficients.
The coefficients of $-9x$ and $-3x$ are $-9$ and $-3$ , respectively.
$-9 + (-3) = -9 - 3$

STEP 4

Calculate the sum of the coefficients.
$-9 - 3 = -12$

STEP 5

Combine the like terms involving the variable $x$ using the sum of their coefficients.
$-9x - 3x = -12x$

STEP 6

Now, identify the constant terms in the expression. Constant terms are terms without variables.
In the given expression, $3.2$ and $7.1$ are constant terms.

STEP 7

Combine the constant terms by adding their values.
$3.2 + 7.1$

STEP 8

Calculate the sum of the constant terms.
$3.2 + 7.1 = 10.3$

STEP 9

Combine the simplified like terms to write the final simplified expression.
$10.3 - 12x$
The simplified expression is $10.3 - 12x$ .

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Simplify the expression: 3.2−9x+7.1−3x3.2 - 9x + 7.1 - 3x3.2−9x+7.1−3x.

STEP 1

Assumptions1. We are given an algebraic expression 3.2−9x+7.1−3x3.2 - 9x + 7.1 - 3x3.2−9x+7.1−3x.2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.In the given expression, −9x-9x−9x and −3x-3x−3x are like terms because they both contain the variable xxx raised to the first power.

STEP 3

Combine the like terms involving the variable xxx by adding their coefficients.The coefficients of −9x-9x−9x and −3x-3x−3x are −9-9−9 and −3-3−3, respectively.−9+(−3)=−9−3-9 + (-3) = -9 - 3−9+(−3)=−9−3

STEP 4

Calculate the sum of the coefficients.−9−3=−12-9 - 3 = -12−9−3=−12

STEP 5

Combine the like terms involving the variable xxx using the sum of their coefficients.−9x−3x=−12x-9x - 3x = -12x−9x−3x=−12x

STEP 6

Now, identify the constant terms in the expression. Constant terms are terms without variables.In the given expression, 3.23.23.2 and 7.17.17.1 are constant terms.

STEP 7

Combine the constant terms by adding their values.3.2+7.13.2 + 7.13.2+7.1

STEP 8

Calculate the sum of the constant terms.3.2+7.1=10.33.2 + 7.1 = 10.33.2+7.1=10.3

STEP 9

Combine the simplified like terms to write the final simplified expression.10.3−12x10.3 - 12x10.3−12xThe simplified expression is 10.3−12x10.3 - 12x10.3−12x.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Simplify the expression: $3.2 - 9x + 7.1 - 3x$ .

Assumptions
1. We are given an algebraic expression $3.2 - 9x + 7.1 - 3x$ .
2. We need to simplify the expression by combining like terms.

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-9x$ and $-3x$ are like terms because they both contain the variable $x$ raised to the first power.

Combine the like terms involving the variable $x$ by adding their coefficients.
The coefficients of $-9x$ and $-3x$ are $-9$ and $-3$ , respectively.
$-9 + (-3) = -9 - 3$

Calculate the sum of the coefficients.
$-9 - 3 = -12$

Combine the like terms involving the variable $x$ using the sum of their coefficients.
$-9x - 3x = -12x$

Now, identify the constant terms in the expression. Constant terms are terms without variables.
In the given expression, $3.2$ and $7.1$ are constant terms.

Combine the constant terms by adding their values.
$3.2 + 7.1$

Calculate the sum of the constant terms.
$3.2 + 7.1 = 10.3$

Combine the simplified like terms to write the final simplified expression.
$10.3 - 12x$
The simplified expression is $10.3 - 12x$ .