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

(1 point)
Responses

5x − 9
5x − 9

−x − 9
−x − 9

−x − 13
−x − 13

−5x − 13

1 answer

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

  1. Distribute the negative sign to the terms inside the parentheses: \[ (2x + 2) - (3x + 11) = 2x + 2 - 3x - 11 \]

  2. Combine like terms:

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

Thus, the simplified expression is: \[ -x - 9 \]

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