To solve the equation \( x + 24 = -17 \), you need to isolate \( x \).
- Subtract 24 from both sides of the equation:
\[ x + 24 - 24 = -17 - 24 \]
This simplifies to:
\[ x = -41 \]
So, the solution to the equation \( x + 24 = -17 \) is \( x = -41 \).