First, let's simplify the expression by expanding and combining like terms:

(1/x + 1 - 3/x^3 + 1 + 3/x^2 - x + 1)(x - 2x - 1/x + 1)
= (1 + x - 3/x^2 + 1 + 3/x - x + 1)(x - 2x - 1/x + 1)
= (5 - 2/x - 2/x^2)(x - 2x - 1/x + 1)
= 5x - 10x - 5 + 2 + 2/x - 4 - 2/x^2 + 4/x + 2/x^2 - 4 - 2/x + 4
= -5x + 1 + 2/x

Therefore, the simplified expression is -5x + 1 + 2/x.