Question

Rewrite the expression using the distributive property and simplify it:

-6(x + 7) + 4(8x - 2)

a) -12x + 30
b) -48x + 10
c) -6x - 28
d) 32x - 8

Answer 1

To rewrite the expression using the distributive property, distribute the coefficients and then simplify the expression to get the final answer: 26x - 50.

Step-by-step explanation:

To rewrite the expression using the distributive property, we need to distribute the coefficients to the terms inside the parentheses. Let's start with the first term:

-6(x + 7) = -6x - 42

Now, let's distribute the coefficient of the second term:

4(8x - 2) = 32x - 8

Now we can simplify the expression by combining like terms:

-6x - 42 + 32x - 8 = 26x - 50

So the simplified expression is 26x - 50. Therefore, the correct answer is d) 32x - 8.