Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for
simplifying 23 - 9 (2x + 5) + 11x? (1 point)
O 23 18x - 45+ 11x
23-7x4+ 11x
O 14 (2x + 5) + 11x
O 14 (2x + 5 + 11x)
The correct answer is: 14 (2x + 5) + 11x
The correct answer that applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23 - 9 (2x + 5) + 11x is option C: 14 (2x + 5) + 11x.
To apply the Distributive Property of Multiplication Over Addition correctly, we need to distribute the factor outside the parentheses to each term inside the parentheses.
Let's simplify the given expression step by step:
23 - 9(2x + 5) + 11x
First, distribute -9 to each term inside the parentheses:
= 23 - (9 * 2x) - (9 * 5) + 11x
= 23 - 18x - 45 + 11x
Now, we can combine like terms (terms with the same variable and exponent):
= (23 - 45) + (-18x + 11x)
= -22 + (-7x)
= -22 - 7x
So, the correct answer is: 23 - 9(2x + 5) + 11x simplifies to -22 - 7x.