Math / Algebra

Question $-6 x+x$

Studdy Solution

STEP 1

What is this asking? We're asked to simplify an expression by combining like terms. Watch out! Remember that $-6x$ means $-6 \cdot x$ , and $x$ is the same as $1 \cdot x$ .
Don't forget your integer rules!

STEP 2

1. Rewrite the terms
2. Combine like terms

STEP 3

Alright, let's rewrite our expression to make it super clear what's going on!
We can rewrite $x$ as $1 \cdot x$ .
So, our expression becomes $-6 \cdot x + 1 \cdot x$ .
This helps us see exactly what we're dealing with!

STEP 4

Now, let's combine those like terms!
Since both terms have an $x$ , we can add their coefficients.
Remember, the coefficient is the number multiplied by the variable.
Here, our coefficients are $-6$ and $1$ .

STEP 5

Let's add those coefficients: $-6 + 1 = -5$ .

STEP 6

So, our simplified expression is $-5x$ !
We combined $-6x$ and $x$ to get $-5x$ .
Awesome!

STEP 7

Our simplified expression is $-5x$ .

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Question $-6 x+x$

Studdy Solution

STEP 1

What is this asking? We're asked to simplify an expression by combining like terms. Watch out! Remember that $-6x$ means $-6 \cdot x$ , and $x$ is the same as $1 \cdot x$ .
Don't forget your integer rules!

STEP 2

1. Rewrite the terms
2. Combine like terms

STEP 3

Alright, let's rewrite our expression to make it super clear what's going on!
We can rewrite $x$ as $1 \cdot x$ .
So, our expression becomes $-6 \cdot x + 1 \cdot x$ .
This helps us see exactly what we're dealing with!

STEP 4

Now, let's combine those like terms!
Since both terms have an $x$ , we can add their coefficients.
Remember, the coefficient is the number multiplied by the variable.
Here, our coefficients are $-6$ and $1$ .

STEP 5

Let's add those coefficients: $-6 + 1 = -5$ .

STEP 6

So, our simplified expression is $-5x$ !
We combined $-6x$ and $x$ to get $-5x$ .
Awesome!

STEP 7

Our simplified expression is $-5x$ .

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Question−6x+x-6 x+x−6x+x

Studdy Solution

STEP 1

What is this asking? We're asked to simplify an expression by combining like terms. Watch out! Remember that −6x-6x−6x means −6⋅x-6 \cdot x−6⋅x, and xxx is the same as 1⋅x1 \cdot x1⋅x.Don't forget your integer rules!

STEP 2

1. Rewrite the terms2. Combine like terms

STEP 3

Alright, let's **rewrite** our expression to make it super clear what's going on!We can rewrite xxx as 1⋅x1 \cdot x1⋅x.So, our expression becomes −6⋅x+1⋅x-6 \cdot x + 1 \cdot x−6⋅x+1⋅x.This helps us see exactly what we're dealing with!

STEP 4

Now, let's **combine** those like terms!Since both terms have an xxx, we can add their coefficients.Remember, the *coefficient* is the number multiplied by the variable.Here, our coefficients are −6-6−6 and 111.

STEP 5

Let's **add** those coefficients: −6+1=−5-6 + 1 = -5−6+1=−5.

STEP 6

So, our **simplified expression** is −5x-5x−5x!We combined −6x-6x−6x and xxx to get −5x-5x−5x.Awesome!

STEP 7

Our simplified expression is −5x-5x−5x.

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Question $-6 x+x$

What is this asking? We're asked to simplify an expression by combining like terms. Watch out! Remember that $-6x$ means $-6 \cdot x$ , and $x$ is the same as $1 \cdot x$ .
Don't forget your integer rules!

1. Rewrite the terms
2. Combine like terms

Alright, let's rewrite our expression to make it super clear what's going on!
We can rewrite $x$ as $1 \cdot x$ .
So, our expression becomes $-6 \cdot x + 1 \cdot x$ .
This helps us see exactly what we're dealing with!

Now, let's combine those like terms!
Since both terms have an $x$ , we can add their coefficients.
Remember, the coefficient is the number multiplied by the variable.
Here, our coefficients are $-6$ and $1$ .

Let's add those coefficients: $-6 + 1 = -5$ .

So, our simplified expression is $-5x$ !
We combined $-6x$ and $x$ to get $-5x$ .
Awesome!

Our simplified expression is $-5x$ .