Solve the Absolute Value Equation or Indicate That the Equation $$| 4 x - 7 | + 7 = - 2$$

Multiple Choice

Solve the absolute value equation or indicate that the equation has no solution.
- $$| 4 x - 7 | + 7 = - 2$$

A) $\left\{ - \frac { 1 } { 2 } \right\}$
B) $\left\{ 4 , \frac { 1 } { 2 } \right\}$
C) $\left\{ - \frac { 1 } { 2 } , - 4 \right\}$
D) $\varnothing$