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To simplify the expression (3(x - 6)(4x + 12) - 6x), first distribute (3) to the terms inside the parentheses: (3(x - 6)(4x + 12) = 3[(4x^2 + 12x) - (24x + 72)] = 12x^2 - 36x - 216). Next, combine this result with (-6x): (12x^2 - 36x - 216 - 6x = 12x^2 - 42x - 216). Therefore, the simplified expression is (12x^2 - 42x - 216).
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