Find the Solution Set for the Equation $$| 7 x - 7 | + 4 = 1$$

Multiple Choice

Find the solution set for the equation.
- $$| 7 x - 7 | + 4 = 1$$

A) $\left\{ \frac { 4 } { 7 } , - \frac { 10 } { 7 } \right\}$
B) $\left\{ \frac { 10 } { 7 } , - \frac { 4 } { 7 } \right\}$
C) $\left\{ \frac { 4 } { 7 } \right\}$
D) $\varnothing$