Let's simplify the given expression:

-6(x + 3) + 4(-5) - 6(2x + 1)
= -6x - 18 + (-20) - 12x - 6
= -6x - 18 - 20 - 12x - 6
= -6x - 12x - 18 - 20 - 6
= -18x - 44

Therefore, -6(x + 3) + 4(-5) - 6(2x + 1) simplifies to -18x - 44.