For the function f(x) = -1(1(2|((1x - 1)/(-2x + 1)) + 1| + 2)^2 - 3(2|((1x - 1)/(-2x + 1)) + 1| + 2) + 1) + 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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