\( 1 \leftarrow \quad \) Solve. Check your solution. \[ \begin{array}{l}-\frac{24}{29}=x+\frac{1}{29} \\ x=\square \text { (Type an integer or a fraction.) }\end{array} \]

To solve for \( x \) in the equation: \[ -\frac{24}{29} = x + \frac{1}{29} \] **Step 1:** Subtract \(\frac{1}{29}\) from both sides to isolate \( x \): \[ x = -\frac{24}{29} - \frac{1}{29} \] **Step 2:** Combine the fractions: \[ x = -\frac{24 + 1}{29} = -\frac{25}{29} \] **Solution:** \[ x = -\frac{25}{29} \] **Verification:** Plugging \( x = -\frac{25}{29} \) back into the original equation: \[ x + \frac{1}{29} = -\frac{25}{29} + \frac{1}{29} = -\frac{24}{29} \] This matches the left side of the original equation, confirming that the solution is correct. \(\boxed{-\dfrac{25}{29}}\)