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