Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-5(-2sin(1π((1x - 3)/(-1x - 1))) + 3)^2 + 2(-2sin(1π((1x - 3)/(-1x - 1))) + 3) + 1) - 1| + 2 is strictly increasing.

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