To solve for \( x \) in the equation
\[ -4(2x - 11) = 12, \]
follow these steps:
- Distribute \(-4\) on the left side:
\[ -4 \cdot 2x + -4 \cdot (-11) = 12, \] \[ -8x + 44 = 12. \]
- Subtract \( 44 \) from both sides:
\[ -8x + 44 - 44 = 12 - 44, \] \[ -8x = -32. \]
- Divide both sides by \(-8\):
\[ x = \frac{-32}{-8}, \] \[ x = 4. \]
So the solution is
\[ \boxed{4}. \]