To solve the equation \( 52x = -18 \), we can isolate \( x \) by dividing both sides by 52:
\[ x = \frac{-18}{52} \]
Now we can simplify the fraction:
\[ x = \frac{-9}{26} \]
So, the solution is:
\[ x = -\frac{9}{26} \]
However, none of the provided responses match this answer. Please double-check the options provided. The fraction \( -\frac{5}{16} \) mentioned in one of the options does not correspond to our solution. Based on the calculation, the correct response is \(-\frac{9}{26}\).