To solve the equation \( 52x = -18 \), you can isolate \( x \) by dividing both sides by 52:
\[ x = \frac{-18}{52} \]
Now, simplify \( \frac{-18}{52} \):
\[ x = \frac{-18 \div 2}{52 \div 2} = \frac{-9}{26} \]
This does not appear to match any of the provided responses directly. Let’s verify the given options:
- −20
- −516
- 120
- −120
None of these options correspond to \( \frac{-9}{26} \). It seems that none of your response options are correct based on the calculation of the original equation \( 52x = -18 \).
If you're looking for the decimal equivalent of \( \frac{-9}{26} \), that is approximately \( -0.34615384615384615 \), which also does not match any provided responses.
Re-check the problem statement or the response options for any miscommunication or errors.