Let's solve the equation step by step:
Given the equation:
\[ 4(2x - 1) + 4x - 4 = -32 \]
- Distribute the \(4\) in the first term:
\[ 8x - 4 + 4x - 4 = -32 \]
- Combine like terms on the left side:
\[ (8x + 4x) + (-4 - 4) = -32 \] \[ 12x - 8 = -32 \]
- Add \(8\) to both sides to isolate the \(x\) terms:
\[ 12x - 8 + 8 = -32 + 8 \] \[ 12x = -24 \]
- Divide both sides by \(12\) to solve for \(x\):
\[ x = \frac{-24}{12} = -2 \]
So, the solution to the equation is:
\[ \boxed{-2} \]