Questions: Perform the addition. Write the answer in standard form. (8 x+9)+(-9 x+2) (8 x+9)+(-9 x+2)= (Simplify your answer.)

Perform the addition. Write the answer in standard form. (8 x+9)+(-9 x+2) (8 x+9)+(-9 x+2)= (Simplify your answer.)
Transcript text: Perform the addition. Write the answer in standard form. \[ (8 x+9)+(-9 x+2) \] \[ (8 x+9)+(-9 x+2)= \] $\square$ (Simplify your answer.)
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Solution

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Solution Steps

Step 1: Remove the parentheses

First, remove the parentheses from the expression: (8x+9)+(−9x+2)=8x+9−9x+2. (8x + 9) + (-9x + 2) = 8x + 9 - 9x + 2.

Step 2: Combine like terms

Next, combine the like terms (terms with xx and constant terms): 8x−9x+9+2=−x+11. 8x - 9x + 9 + 2 = -x + 11.

Final Answer

The simplified expression in standard form is: −x+11 \boxed{-x + 11}

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