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.)

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.)

Solution

Solution Steps

Step 1: Remove the parentheses

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

Step 2: Combine like terms

Next, combine the like terms (terms with $x$ and constant terms): \[ 8x - 9x + 9 + 2 = -x + 11. \]

Final Answer

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

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