Perform the Indicated Operations and Simplify the Result $\frac { \frac { x } { 49 } - \frac { 1 } { x } } { 1 + \frac { 7 } { x } }$

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $\frac { \frac { x } { 49 } - \frac { 1 } { x } } { 1 + \frac { 7 } { x } }$

A) $\frac { x - 7 } { 49 }$
B) $\frac { x + 7 } { 49 }$
C) $\frac { 49 } { x + 7 }$
D) $\frac { 49 } { x - 7 }$