Perform the Operations and Simplify the Result When Possible $\frac { x + 4 } { x + 5 } - \frac { x - 5 } { x + 7 }$

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { x + 4 } { x + 5 } - \frac { x - 5 } { x + 7 }$

A) $\frac { 11 x + 53 } { ( x + 5 ) ( x + 7 ) }$
B) $\frac { 2 ( 11 x + 53 ) } { ( x + 5 ) ( x + 7 ) }$
C) $\frac { 11 x + 53 } { x + 5 }$
D) $\frac { 53 x + 11 } { ( x + 5 ) ( x + 7 ) }$
E) $\frac { 11 x ^ { 2 } + 53 } { ( x + 5 ) ( x + 7 ) }$