To simplify this expression, we first need to find a common denominator for all the fractions. The common denominator for the fractions in the expression is x(x-2).

So, the expression becomes:

(3x(x-2) + 2(x(x-2)) - 12(x-2) - x^2) / (x(x-2)) ÷ (x + 7) / (x - 2)

Expanding the numerators, we get:

(3x^2 - 6x + 2x^2 - 4x - 12x + 24 - x^2) / (x(x-2)) ÷ (x + 7) / (x - 2)

Combining like terms, we get:

(4x^2 - 22x + 24) / (x(x-2)) ÷ (x + 7) / (x - 2)

Now, to divide by a fraction, we multiply by the reciprocal:

(4x^2 - 22x + 24) / (x(x-2)) * (x - 2) / (x + 7)

Now, cancelling out common factors:

(2(2x - 11)) / (x+7)

So, the simplified expression is:

(2(2x - 11)) / (x+7)