Perform the Indicated Operations and Simplify the Result $$\frac { \frac { 12 } { 13 - x } + \frac { 13 } { x - 13 } } { \frac { 4 } { x } + \frac { 9 } { x - 13 } }$$

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { \frac { 12 } { 13 - x } + \frac { 13 } { x - 13 } } { \frac { 4 } { x } + \frac { 9 } { x - 13 } }$$

A) $- \frac { x } { 13 x - 52 }$
B) $\frac { x } { 13 x - 52 }$
C) $\frac { 25 x } { 13 x - 52 }$
D) $- \frac { 25 x } { 13 x - 52 }$