Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)
Responses
14(2x+5+11x)
14 left parenthesis 2 x plus 5 plus 11 x right parenthesis
23−7x−4+11x
23 minus 7 x minus 4 plus 11 x
23−18x−45+11x
23 minus 18 x minus 45 plus 11 x
14(2x+5)+11x
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:
14(2x+5)+11x
To apply the Distributive Property of Multiplication Over Addition correctly for simplifying the expression 23−9(2x+5)+11x, we need to distribute the 9 to both terms inside the parentheses.
Let's break down the steps to simplify the expression:
1. First, distribute the 9 to both terms inside the parentheses:
9 * 2x = 18x
9 * 5 = 45
The expression now becomes:
23 - 18x - 45 + 11x
2. Combine like terms:
-18x + 11x = -7x
The simplified expression is:
23 - 7x - 45
So, the correct answer applying the Distributive Property is:
23 - 7x - 45