To simplify this expression, let's first find a common denominator for all the fractions:

2/x^2 - 4 + x - 4/x^2 + 2x = 1/x^2 - 2x

Multiplying each term by x^2(x^2-2x) will give us:

2(x^2-2x) - 4x^2(x^2-2x) + x(x^2-2x) - 4(x^2-2x) = x^2

Expanding each term, we get:

2x^2 - 4x - 4x^4 + 8x^3 + x^3 - 2x^2 - 4x + 8 = x^2

Combining like terms:

-4x^4 + 8x^3 + 3x^2 = x^2

Now, let's move all terms to one side of the equation to simplify:

-4x^4 + 8x^3 + 3x^2 - x^2 = 0

Reorder the terms:

-4x^4 + 8x^3 + 2x^2 = 0

So, the simplified form of the given expression is -4x^4 + 8x^3 + 2x^2 = 0