Simplify.

11−9(−2x−3)
(1 point)
Responses

−4x−6
negative 4 x minus 6

18x−38
18 x minus 38

−4x+6
negative 4 x plus 6

18x+38

1 answer

To simplify the expression \( 11 - 9(-2x - 3) \), follow these steps:

  1. Distribute the \(-9\) to both terms inside the parentheses: \[ -9(-2x) - 9(-3) = 18x + 27 \]

  2. Now, substitute back into the expression: \[ 11 + 18x + 27 \]

  3. Combine the constant terms \( 11 + 27 \): \[ 18x + 38 \]

Thus, the simplified expression is: \[ \boxed{18x + 38} \]