Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 18, 2024

Find the simplified expression for $2x + 9 + 7x$ .

STEP 1

Assumptions
1. We are given an algebraic expression $2x + 9 + 7x$ .
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.

STEP 3

Combine the like terms, which are $2x$ and $7x$ .
$2x + 7x$

STEP 4

Add the coefficients of the like terms.
$2 + 7 = 9$

STEP 5

Combine the coefficients with the variable $x$ to get the simplified expression for the like terms.
$9x$

STEP 6

Now, include the constant term $9$ which is not a like term with $x$ in the simplified expression.
$9x + 9$

STEP 7

The expression $2x + 9 + 7x$ simplifies to $9x + 9$ .
The simplified expression is $9x + 9$ .

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