If \(27^{4x + 2} \cdot 162^{-2x} \cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

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If \(27^{4x + 2} \cdot 162^{-2x} \cdot 36^x \cdot 9^{6 - 2x} = 1,\) then what is the value of \(x?\)

A. -9
B. -6
C. 3
D. 6
E. 9

Answer: A

Source: Manhattan GMAT