When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?

multiply each side by negative one over eight , add 35 to each side
multiply each side by negative one over eight , subtract 35 from each side
multiply each side by −8, subtract 35 from each side
multiply each side by −8, add 35 to each side

The answer is:  [C]:  

Multiply each side by −8, subtract 35 from each side.

Explanation:

Given: You have (-1/8)*(x + 35) = -7

Note that all the answer choices given start with: "Multiply each side by"; 

Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number. 
 Then you would be left with:  x + 35 = 56 ; so the next step would be to:

Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".