Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)
Responses
23−7x−4+11x
23 minus 7 x minus 4 plus 11 x
14(2x+5+11x)
14 left parenthesis 2 x plus 5 plus 11 x right parenthesis
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
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The correct answer 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, we need to distribute the number outside the parentheses to every term inside the parentheses.
In the given expression, we have 23 - 9(2x+5) + 11x.
Let's apply the distributive property step by step:
1. Distribute -9 to both terms inside the parentheses:
-9 * 2x = -18x
-9 * 5 = -45
Now the expression becomes 23 - 18x - 45 + 11x.
2. Combine like terms:
-18x + 11x = -7x
23 - 45 = -22
Finally, the simplified expression is:
-7x - 22 + 11x.
So, the correct answer is 23 - 18x - 45 + 11x, which corresponds to the third response:
23−18x−45+11x