To solve the equation \(-3x - 13 = 14\) for \(x\), the first step should be to isolate the term with \(x\). Therefore, you should start by eliminating the constant term \(-13\) on the left side of the equation.
The correct first step is:
Add 13 to both sides of the equation.
This will result in:
\(-3x - 13 + 13 = 14 + 13\)
Which simplifies to:
\(-3x = 27\)
So, the correct option is "Add 13 to both sides of the equation."