7. Solve the equation $\frac{11 x^{2}-6}{7-12 x^{2}}=\sqrt{\frac{7 x+6}{12 x+11}}$.
(Prompt: Let $\frac{11 x^{2}-6}{7-12 x^{2}}=\sqrt{\frac{7 x+6}{12 x+11}}=y$. Transform the equation into a Type II cyclic symmetric system of equations. $x_{1}=\frac{3}{4}, x_{2}=$ $\left.\frac{-5-11 \sqrt{21}}{74}.\right)$