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Let S = { x ∈ (-π, π) : x ≠ 0, ±π/2 }. The sum of all distinct solutions of the equation √3 sec x +

Let S = { x ∈ (-π, π) : x ≠ 0, ±π/2 }. The sum of all distinct solutions of the equation √3 sec x + cosec x + 2(tan x - cot x) = 0 in the set S is equal to
(A) -7π/9 (B) -2π/9 (C) 0 (D) 5π/9

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