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To solve the equation \(-x^{3/2} = -27\), we can first simplify it by multiplying both sides by -1:
\[ x^{3/2} = 27 \]
Next, to solve for \(x\), we can raise both sides to the power of \(\frac{2}{3}\):
\[ x = 27^{\frac{2}{3}} \]
Calculating \(27^{\frac{1}{3}}\):
\[ 27^{\frac{1}{3}} = 3 \]
Now we can square this result:
\[ 27^{\frac{2}{3}} = (27^{\frac{1}{3}})^2 = 3^2 = 9 \]
Therefore, the solution is:
\[ x = 9 \]
So, the correct answer is \( \boxed{9} \).