\(\frac{-1}{x}=-7\) | Multiply by x on both sides first so that we get rid of that pesky variable in the denominator. |
\(-1=-7x\) | Divide by -7 on both sides. |
\(\frac{1}{7}=x\) | The only forbidden value for x is 0 because that would result in a division-by-0 error. This is a valid solution. |