To solve the equation \(-3(-4x - 3) = -27\), follow these steps:
- Distribute the \(-3\) on the left side of the equation:
\[ -3 \cdot -4x - 3 \cdot -3 = 12x + 9 \]
So, the equation becomes:
\[ 12x + 9 = -27 \]
- Next, isolate the term with \(x\) by subtracting \(9\) from both sides:
\[ 12x + 9 - 9 = -27 - 9 \]
This simplifies to:
\[ 12x = -36 \]
- Now, divide both sides by \(12\) to solve for \(x\):
\[ x = \frac{-36}{12} \]
Simplifying the fraction gives:
\[ x = -3 \]
Therefore, the solution is:
\[ \boxed{-3} \]
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