For the function f(x) = -3cos(2π((-3(-4x^2 - 1x - 3) + 1)/(-1(-4x^2 - 1x - 3))) + 2) + 3, 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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