\[\frac{x - 7^{\backslash x - 2}}{x + 2} - \frac{x + 7^{\backslash x + 2}}{x - 2} =\]
\[= \frac{x^{2} - 7x - 2x + 14 - x^{2} - 7x - 2x - 14}{(x + 2)(x - 2)} =\]
\[= \frac{- 18x}{x^{2} - 4} = \frac{18x}{4 - x^{2}}.\]