Question

Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x) , you could simplify this equation to get which of these choices?(1 point) Responses 35x+2=24−20x 35 x plus 2 is equal to 24 minus 20 x 35x+14=−24+20x 35 x plus 14 is equal to negative 24 plus 20 x 5x+14=6+20x 5 x plus 14 is equal to 6 plus 20 x 35x+14=−24−20x 35 x plus 14 is equal to negative 24 minus 20 x 35x+2=−24−5x

Answer 1

To simplify the equation \( 7(5x + 2) = -4(6 - 5x) \) using the Distributive Property, we proceed as follows:

1. Distribute \(7\) on the left side:
\[
7(5x) + 7(2) = 35x + 14
\]

2. Distribute \(-4\) on the right side:
\[
-4(6) + (-4)(-5x) = -24 + 20x
\]

Putting it all together, we get:
\[
35x + 14 = -24 + 20x
\]

Therefore, the simplified equation is:
**35x + 14 = -24 + 20x**

So, the correct response is:
**35x + 14 = -24 + 20x**.