Let  f x = 2   tan - 1   x   and   g x  be a differentiable function satisfying  g x + 2 y 3 = g x + 2 g y 3   x ,   y   R   and   g ' 0 = 1 ,   g 0 = 2 . Find the number of integers satisfying  f 2   g x - 5 f g x + 4 > 0   where   x     - 10 ,   10 .

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