Which of the following answers applies to distribute property of multiplication or addition correctly for simplifying 23-9(2×+5)+11x

Answer 1

To simplify the expression 23-9(2x+5)+11x, we can apply the distributive property of multiplication over addition:

First, apply the distributive property of 9 over the terms (2x + 5):

9(2x + 5) = 9 * 2x + 9 * 5 = 18x + 45

Now, substitute this expression back into the original expression:

23 - (18x + 45) + 11x

To simplify further, apply the distributive property of -1 over the expression (18x + 45):

-1 * (18x + 45) = -18x - 45

Substitute this expression back into the simplified expression:

23 - 18x - 45 + 11x

Now, we can simplify the expression further by combining like terms:

-7x - 22

So, the correct answer is: -7x - 22