To solve the equation \( 52x = -18 \), you can isolate \( x \) by dividing both sides of the equation by 52:
\[ x = \frac{-18}{52} \]
Next, you can simplify this fraction. Both the numerator and the denominator can be divided by 2:
\[ x = \frac{-9}{26} \]
Now, let's convert \( -\frac{9}{26} \) into a decimal for better understanding:
\[ -\frac{9}{26} \approx -0.346 \]
Looking at the responses you provided:
- \( -516 \)
- \( -\frac{5}{16} \)
- \( 120 \)
- \( \frac{1}{20} \)
- \( -120 \)
- \( -\frac{1}{20} \)
- \( -20 \)
None of the provided responses match \( -\frac{9}{26} \). Therefore, it appears that this exact solution is not included in your options.
If there were a mistake or confusion with the options provided or the problem itself, please double-check the equation or the answers given.