Perform the Indicated Operations and Simplify the Result $$\frac { \frac { x } { x + 4 } + 1 } { \frac { 12 } { x ^ { 2 } - 16 } + 1 }$$

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { \frac { x } { x + 4 } + 1 } { \frac { 12 } { x ^ { 2 } - 16 } + 1 }$$

A) $\frac { 2 x - 8 } { x + 2 }$
B) $\frac { x - 4 } { x - 2 }$
C) $\frac { 2 x + 8 } { x + 2 }$
D) $\frac { 2 x - 8 } { x - 2 }$