Simplify:

7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ (3x² ÷ x)}

7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ (3x² ÷ x)}

= 7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ 3x}

= 7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - $\dfrac{\text{x}^2}{3}$}

= 7x + 4{x² ÷ (5x ÷ 10)} - 6 + $\dfrac{3\text{x}^2}{3}$

= 7x + 4{x² ÷ $\dfrac{5\text{x}}{10}$} - 6 + x²

= 7x + 4{x² ÷ $\dfrac{\text{x}}{2}$} - 6 + x²

= 7x + 4{$\dfrac{2\text{x}^2}{\text{x}}$} - 6 + x²

= 7x + 4 x 2x - 6 + x²

= 7x + 8x - 6 + x²

= x² + 15x - 6

Hence, the answer is x² + 15x - 6