To solve the equation \(-2(x + 13) + 9x = 4\), we will first distribute and then combine like terms.
- Distribute \(-2\) in the equation:
\[ -2 \cdot (x) - 2 \cdot (13) + 9x = 4 \] \[ -2x - 26 + 9x = 4 \]
- Combine like terms:
\[ (-2x + 9x) - 26 = 4 \] \[ 7x - 26 = 4 \]
- Add \(26\) to both sides:
\[ 7x - 26 + 26 = 4 + 26 \] \[ 7x = 30 \]
- Divide both sides by \(7\):
\[ x = \frac{30}{7} \]
Thus, the solution is:
\[ \boxed{\frac{30}{7}} \]