-6x(-2x^2 + 6x + 7)

To simplify the expression -6x(-2x^2 + 6x + 7), we will distribute -6x to each term inside the parentheses.

-6x * -2x^2 = 12x^3
-6x * 6x = -36x^2
-6x * 7 = -42x

Therefore, the simplified expression is 12x^3 - 36x^2 - 42x.