Let's simplify the equation step by step:

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

-5x - 2 + 4x + 4 = -12 - 4x - 1

Combine like terms:

-x + 2 = -13 - 4x

Add 4x to both sides:

3x + 2 = -13

Subtract 2 from both sides:

3x = -15

Divide by 3:

x = -5

Therefore, the solution to the equation is x = -5.