Find the Missing Numerator and Denominator $$\frac { x + 6 } { x - 6 } \cdot \frac { ? } { ? } = \frac { ( x + 6 ) ( x - 1 ) } { ( x - 6 ) ( x + 7 ) }$$

Multiple Choice

Find the missing numerator and denominator.
- $$\frac { x + 6 } { x - 6 } \cdot \frac { ? } { ? } = \frac { ( x + 6 ) ( x - 1 ) } { ( x - 6 ) ( x + 7 ) }$$

A) $\frac { x + 1 } { x - 7 }$

B) $\frac { x - 1 } { x + 7 }$

C) $\frac { x ( 6 x - 1 ) } { x ( 6 x + 7 ) }$

D) $\frac { x ( x - 1 ) } { x ( x + 7 ) }$