Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)%0D%0AResponses%0D%0A%0D%0A14(2x+5)+11x%0D%0A14 left parenthesis 2 x plus 5 right parenthesis plus 11 x%0D%0A%0D%0A23−7x−4+11x%0D%0A23 minus 7 x minus 4 plus 11 x%0D%0A%0D%0A14(2x+5+11x)%0D%0A14 left parenthesis 2 x plus 5 plus 11 x right parenthesis%0D%0A%0D%0A23−18x−45+11x
The correct answer is "23−7x−4+11x".
was it right
The correct application of the Distributive Property of Multiplication Over Addition for simplifying 23−9(2x+5)+11x is:
23 − 9(2x + 5) + 11x = 23 − 18x − 45 + 11x
To apply the Distributive Property of Multiplication Over Addition correctly, you need to distribute the factor outside the parentheses to each term inside the parentheses.
Let's simplify the expression step by step:
Given expression: 23 - 9(2x + 5) + 11x
Step 1: Distribute the -9 to each term inside the parentheses
Result: 23 - 18x - 45 + 11x
Step 2: Combine like terms
Result: -18x + 11x = -7x
Step 3: Combine the remaining constants
Result: 23 - 45 = -22
Final simplified expression: -7x - 22
Therefore, the correct answer is 23 - 9(2x + 5) + 11x simplifies to -7x - 22.