Question

Shawnece is solving the equation x7 − 4 = −6 . One of her steps is to multiply both sides of the equation by 7. Why? (1 point) Responses Multiplying both sides by 7 undoes the division of x by 7 in the original problem. Multiplying both sides by 7 undoes the division of x by 7 in the original problem. The negative sign in −6 must be changed to positive. The negative sign in negative 6 must be changed to positive. Multiplying both sides by 7 undoes the addition in the original problem. Multiplying both sides by 7 undoes the addition in the original problem. Multiplying both sides by 7 undoes the subtraction in the original problem.

Answer 1

The correct response is: Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

However, it seems there's a misunderstanding in the wording of the original problem since the equation provided is \( x^7 - 4 = -6 \), and multiplying by 7 is not an appropriate step to simplify it. Instead, one would typically add 4 to both sides first to isolate \( x^7 \). But based on your request for reasoning regarding the multiplication, that would be the correct choice if the intent was handling a division scenario.