Shawn is solving the equation

x7−47=−6
One of his steps is to multiply both sides of the equation by 7. Why?

(1 point)
Responses

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.
Multiplying both sides by 7 undoes the subtraction in the original problem.

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 -6 must be changed to positive.
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1 answer

The statement of the equation seems a bit unclear because there is either a formatting issue or a typo in the equation you've given. I will assume the equation you meant was one of the following:

1. If the equation is \( x/7 - 47 = -6 \),
Multiplying both sides by 7 is the correct step, as it undoes the division of \( x \) by 7 in the original problem.

2. If the equation is \( x^7 - 47 = -6 \),
Multiplying by 7 would not be the correct step for solving this equation because the term \( x^7 \) is not simply divided by 7.

If the equation is presented as in the first assumption, then the correct response to why Shawn is multiplying both sides by 7 would be:

Multiplying both sides by 7 undoes the division of x by 7 in the original problem.