Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)
Responses
23−18x−45+11x
23 minus 18 x minus 45 plus 11 x
14(2x+5)+11x
14 left parenthesis 2 x plus 5 right parenthesis plus 11 x
23−7x−4+11x
23 minus 7 x minus 4 plus 11 x
14(2x+5+11x)
14(2x+5)+11x
To apply the Distributive Property of Multiplication Over Addition, you need to distribute the number outside the parentheses to every term inside the parentheses.
Let's simplify the given expression step by step:
23 - 9(2x + 5) + 11x
Start by distributing the -9 to both terms inside the parentheses:
= 23 - 18x - 45 + 11x
This simplifies to:
= -18x + 11x + 23 - 45
Now, combine the like terms:
= -7x - 22
Therefore, the correct answer that applies the Distributive Property of Multiplication Over Addition is:
23 - 9(2x + 5) + 11x = -7x - 22
Among the provided options, the correct response is:
23 - 18x - 45 + 11x
The correct answer that applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x is:
23−18x−45+11x