AMO 2027 Grades 9-11 SET 4 - Self-study Question 1

Find $MN-M-N$ if the following identity holds for all real $x$ for which the denominators are nonzero: $$\frac{52x+73}{14x^2+83x+33}=\frac{M}{7x+3}+\frac{N}{2x+11}.$$ Here $M,N$ are constants.

Choose one option.