To apply the Distributive Property of Multiplication Over Addition correctly to the expression \( 23 - 9(2x + 5) + 11x \), we need to distribute \(-9\) to both terms inside the parentheses.
Starting with the given expression:
\[ 23 - 9(2x + 5) + 11x \]
Using the Distributive Property:
\[ -9(2x + 5) = -9 \cdot 2x + (-9) \cdot 5 = -18x - 45 \]
Now substituting this back into the original expression gives us:
\[ 23 - 18x - 45 + 11x \]
Now we can combine like terms:
\[ 23 - 45 + (-18x + 11x) = -22 - 7x \]
Therefore, the simplified expression is:
\[ 23 - 18x - 45 + 11x \]
So the correct response based on your options is:
23−18x−45+11x (23 minus 18 x minus 45 plus 11 x)
1 answer