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

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