Math

QuestionSimplify: (5x + 2) + (4x + 5). Choices: 9x - 7, -9x - 11, 9x + 7, x + 7.

Studdy Solution

STEP 1

Assumptions1. The terms to be combined are (5x+)(5x+) and (4x+5)(4x+5). . Like terms are terms that have the same variable and exponent. In this case, the like terms are the terms with the variable xx and the constant terms.

STEP 2

To combine like terms, we add or subtract the coefficients (the numbers in front of the variable). We can rewrite the expression as follows(5x+2)+(4x+5)=5x+4x+2+5(5x+2)+(4x+5) =5x +4x +2 +5

STEP 3

Now, add the coefficients of the like terms 5x5x and xx together5x+x=9x5x +x =9x

STEP 4

Next, add the constant terms 22 and together together2 + =7$$

STEP 5

Finally, combine the results from steps3 and4 to get the simplified expression9x+79x +7So, the expression (5x+2)+(4x+5)(5x+2)+(4x+5) simplifies to 9x+79x +7.

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