Which of the following answers applied to the strictly property multiplication of addition correctly for simplifying 23-9 parentheses two X +5 parentheses +11 X

1 answer

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:

  1. Distribute the \( -9 \) across the \( (2x + 5) \): \[ -9(2x) - 9(5) = -18x - 45 \]

  2. Substitute back into the original expression: \[ 23 - 18x - 45 + 11x \]

  3. Combine the constant terms \( 23 \) and \( -45 \): \[ 23 - 45 = -22 \]

    So the expression now looks like: \[ -22 - 18x + 11x \]

  4. Combine the like terms for \( x \): \[ -18x + 11x = -7x \]

  5. Final result: \[ -22 - 7x \]

Thus, the simplified expression is: \[ -7x - 22 \]

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