Answer
$$x=-324$$
Work Step by Step
We are give the equation $-36= \frac{x}{9}$ and in the wrong answer they multiply each side by 1/9 in an attempt to cancel out the nine below the x, what this really does is give us the equation $-4= \frac{x}{81}$ . If we look back at the original equation we know we need to multiply the numerator by 9 to find x. $$9\times-36=9\times\frac{x}{9}$$ This gives us: $$-324= x$$
or
$$x=-324$$