To solve the equation \(\frac{1}{3}(6x - 9) = -33\), we can follow these steps:
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Eliminate the fraction by multiplying both sides of the equation by 3:
\[ 3 \cdot \frac{1}{3}(6x - 9) = 3 \cdot (-33) \]
This simplifies to:
\[ 6x - 9 = -99 \]
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Add 9 to both sides to isolate the term with \(x\):
\[ 6x - 9 + 9 = -99 + 9 \]
This simplifies to:
\[ 6x = -90 \]
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Divide both sides by 6 to solve for \(x\):
\[ x = \frac{-90}{6} \]
This simplifies to:
\[ x = -15 \]
The solution to the equation is
\[ \boxed{-15} \]