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)

Question

Responses

5x+14=6+20x5 x plus 14 is equal to 6 plus 20 x

35x+2=−24−5x35 x plus 2 is equal to negative 24 minus 5 x

35x+14=−24−20x35 x plus 14 is equal to negative 24 minus 20 x

35x+2=24−20x35 x plus 2 is equal to 24 minus 20 x

35x+14=−24+20x

Answer 1

To solve the equation \( 7(5x + 2) = -4(6 - 5x) \) using the Distributive Property, we will apply distribution to both sides:

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

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

Now, putting these results together, we get: \[ 35x + 14 = -24 + 20x \]

This matches the choice: 35x + 14 = -24 + 20x