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

-1/8 (x + 35) = - 7

Use distributive property (Multiply - 1/8 by x and 35)

-1/8x - 35/8 = - 7

Add 35/8 to both sides.

-1/8x = - 21/8

Divide - 1/8 on both sides so that the only thing remaining on the left side is the variable x.

Final Answer: 1/21