\( 2 x - \frac { 16 x + 1 } { 5 ^ { x + 1 } } + 1 = 0 \)

\( \frac{\frac{8}{5 x}-\frac{1}{x}}{\frac{4}{5}+\frac{3}{x}} \) \( \frac{\frac{8}{5 x}-\frac{1}{x}}{\frac{4}{5}+\frac{3}{x}}=\square( \) Simplify your answer. \( ) \)

\( \frac{\frac{\frac{2}{x}}{\frac{2}{x^{2}}+\frac{7}{x}}}{\frac{\frac{2}{x}}{\frac{2}{x^{2}}+\frac{7}{x}}=\square \text { (Simplify your answer.) }} \)

Simplify. \( \frac{\frac{3}{x+5}}{x-5}-\frac{3}{x^{2}-25} \) \( \frac{\frac{3}{x+5}}{\frac{3}{x-5}-\frac{3}{x^{2}-25}}=\square \) (Use integers or fractions for any numbers in the expression.)

a) \( \quad x^{2}=49 \)

Perform the indicated operation. \( \frac{8}{x^{2}-2 x-35}+\frac{7}{x-7} \) \( \frac{8}{x^{2}-2 x-35}+\frac{7}{x-7}=\square( \) Simplify your answer. \( ) \)