Solve the Equation $$e ^ { 2 x - 1 } = \left( e ^ { 6 } \right) ^ { - x }$$

Multiple Choice

Solve the equation.
- $$e ^ { 2 x - 1 } = \left( e ^ { 6 } \right) ^ { - x }$$

A) $\left\{ \frac { 7 } { 3 } \right\}$
B) $\{ 0 \}$
C) $\left\{ \frac { 1 } { 8 } \right\}$
D) $\left\{ - \frac { 1 } { 4 } \right\}$