Solve the Equation $$9 ^ { 2 x } \cdot 27 ^{( 3 - x )} = \frac { 1 } { 9 }$$

Multiple Choice

Solve the equation.
- $$9 ^ { 2 x } \cdot 27 ^{( 3 - x ) } = \frac { 1 } { 9 }$$

A) $\{ - 8 \}$
B) $\{ 10 \}$
C) $\{ - 11 \}$
D) $\left\{ \frac { 9 + \sqrt { 87 } } { 6 } , \frac { 9 - \sqrt { 87 } } { 6 } \right\}$