Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)

To simplify the expression \( 23 - 9(2x + 5) + 11x \) using the Distributive Property of Multiplication Over Addition, you need to apply the distributive property to the term \( -9(2x + 5) \).

The Distributive Property states that \( a(b + c) = ab + ac \).

Applying this to \( -9(2x + 5) \):

\[ -9(2x + 5) = -9 \cdot 2x + -9 \cdot 5 = -18x - 45 \]

Now, substitute this back into the original expression:

\[ 23 - 9(2x + 5) + 11x = 23 - 18x - 45 + 11x \]

Next, combine like terms:

1. Combine the constant terms: \( 23 - 45 = -22 \)
2. Combine the \( x \) terms: \( -18x + 11x = -7x \)

So, the simplified expression is:

\[ -7x - 22 \]

Thus, the correct application of the Distributive Property here was to expand \( -9(2x + 5) \) into \( -18x - 45 \), and then combine like terms to reach \( -7x - 22 \).