To solve for the value of \( x \), we start with the equation given:
\[ x = -9y - 5 \]
Given that \( y = -7 \), we substitute \(-7\) for \( y \):
\[ x = -9(-7) - 5 \]
Now, calculate \(-9 \times -7\):
\[ -9 \times -7 = 63 \]
Now, we substitute that back into the equation:
\[ x = 63 - 5 \]
Now, perform the subtraction:
\[ x = 58 \]
Therefore, the value of \( x \) is:
\[ \boxed{58} \]