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

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