Rationalize the Denominator of the Expression and Simplify $\frac { \sqrt { x } - 4 } { 2 \sqrt { x } - 7 }$

Multiple Choice

Rationalize the denominator of the expression and simplify. $\frac { \sqrt { x } - 4 } { 2 \sqrt { x } - 7 }$

A) $\frac { 2 x + 15 \sqrt { x } - 4 } { 4 x - 7 }$
B) $\frac { 2 x - \sqrt { x } - 28 } { 4 x - 49 }$
C) $\frac { x - \sqrt { x } - 28 } { 2 x - 49 }$
D) $\frac { x + 15 \sqrt { x } - 4 } { 2 x - 7 }$
E) $\frac { 2 x + 9 \sqrt { x } - 4 } { 4 x - 7 }$