Simplify the expression: (2x + 2) − (3x + 11) =

Question

(1 point)
Responses

−5x − 13
−5x − 13

−x − 13
−x − 13

5x − 9
5x − 9

−x − 9

Answer 1

To simplify the expression \((2x + 2) - (3x + 11)\), follow these steps:

1. Distribute the negative sign in front of the second parentheses: \[ (2x + 2) - 3x - 11 \]

2. Combine like terms: \[ 2x - 3x + 2 - 11 \]

   • Combine the \(x\) terms: \(2x - 3x = -1x\) or \(-x\)
   • Combine the constant terms: \(2 - 11 = -9\)

3. Putting it all together: \[ -x - 9 \]

Therefore, the simplified expression is \(-x - 9\).

The correct response is: \(-x - 9\)