To solve the equation \( 85x = -10 \), we need to isolate \( x \).
We can do this by dividing both sides of the equation by 85:
\[ x = \frac{-10}{85} \]
Now, we simplify the fraction:
\[ x = \frac{-10 \div 5}{85 \div 5} = \frac{-2}{17} \]
Now, let's compare this solution against the provided options. The solution \( -\frac{2}{17} \) does not appear to match any of the options given directly, but we can convert \( \frac{-2}{17} \) into a decimal for reference, which is approximately \(-0.1176\).
None of the options seem to match this value directly. The closest response to check would be \( -\frac{1}{16} \), which is approximately \(-0.0625\) and still does not compare to our result.
None of the available responses appear to be correct based on the calculated solution of \( -\frac{2}{17} \).
Please review the options again or provide any further context.