For the function f(x) = 1|(4(3((-1x + 1)/(1x + 3))^2 + 5((-1x + 1)/(1x + 3)) + 1) - 2) - 3| + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}
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