Let's simplify the equation step by step:

-4(5x - 3) - 6(1 + x) - 1 = 7(2x - 4) + 5(3x - 2)

Expand the terms:

-20x + 12 - 6 - 6x - 1 = 14x - 28 + 15x - 10

Combine like terms:

-26x + 5 = 29x - 38

Move all the x terms to one side of the equation:

-26x - 29x = -38 - 5

Combine like terms:

-55x = -43

Divide by -55 to solve for x:

x = -43 / -55

x = 43 / 55

Therefore, the solution for x is 43 / 55.