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 23−7x−4+11x 23 minus 7 x minus 4 plus 11 x 14(2x+5)+11x 14 left parenthesis 2 x plus 5 right parenthesis plus 11 x 14(2x+5+11x) 14 left parenthesis 2 x plus 5 plus 11 x right parenthesis
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
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
To apply the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x, we need to multiply the -9 by each term inside the parentheses (2x and 5), and then add the resulting expressions.
Let's follow the correct process to simplify the expression step by step:
1) Distribute the -9 to both terms inside the parentheses:
-9(2x) = -18x
-9(5) = -45
2) Now, we can substitute the distributed expressions back into the original expression:
23 - 18x - 45 + 11x
Combining like terms, we add the x terms (-18x and 11x) and the constant terms (23 and -45):
-18x + 11x = -7x
23 - 45 = -22
The simplified expression is:
-7x - 22
Therefore, the correct option is:
23−18x−45+11x