To simplify the expression \( 11 - 9(-2x - 3) \), follow these steps:
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Distribute the \(-9\) to both terms inside the parentheses: \[ -9(-2x) - 9(-3) = 18x + 27 \]
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Now, substitute back into the expression: \[ 11 + 18x + 27 \]
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Combine the constant terms \( 11 + 27 \): \[ 18x + 38 \]
Thus, the simplified expression is: \[ \boxed{18x + 38} \]