Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(3π(5((-2x + 1)/(-2x + 3))^2 - 4((-2x + 1)/(-2x + 3)) - 1) - 3) - 1 is strictly increasing.

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