To simplify the expression \( 23 - 9(2x + 5) + 11x \), we will follow the order of operations, which includes dealing with parentheses first and then combining like terms.
Here are the steps:
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Distribute the \( -9 \) across the \( (2x + 5) \): \[ -9(2x) - 9(5) = -18x - 45 \]
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Substitute back into the original expression: \[ 23 - 18x - 45 + 11x \]
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Combine the constant terms \( 23 \) and \( -45 \): \[ 23 - 45 = -22 \]
So the expression now looks like: \[ -22 - 18x + 11x \]
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Combine the like terms for \( x \): \[ -18x + 11x = -7x \]
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Final result: \[ -22 - 7x \]
Thus, the simplified expression is: \[ -7x - 22 \]
If you have any further questions or need additional clarification, feel free to ask!