Let $$ S = \left\{x \epsilon (-\pi, \pi): x \neq 0, \pm \frac{\pi}{2}\right\}$$ The sum of all distinct solutions of the equation $$\sqrt{3} \sec x + \cosec x + 2(\tan x - \cot x) = 0$$ in the set S is equal to

A

$$-\frac{7 \pi}{9}$$

B

$$-\frac{2 \pi}{9}$$

C

$$0$$

D

$$\frac{5 \pi}{9}$$