To solve the equation \(-3x - 13 = 14\) for \(x\), the correct first step is to add 13 to both sides of the equation.
This will help isolate the term with \(x\). Here's how it would look:
\[ -3x - 13 + 13 = 14 + 13 \]
This simplifies to:
\[ -3x = 27 \]
So, the correct response is: Add 13 to both sides of the equation.