1. **State the problem:** Simplify the expression $$(3x^2 + 2x - 7) - (x^2 - x + 6)$$. 2. **Apply the subtraction:** Distribute the minus sign to each term inside the second parentheses: $$3x^2 + 2x - 7 - x^2 + x - 6$$ 3. **Group like terms:** $$ (3x^2 - x^2) + (2x + x) + (-7 - 6) $$ 4. **Simplify each group:** $$ 2x^2 + 3x - 13 $$ 5. **Final answer:** $$2x^2 + 3x - 13$$ This is the simplified form of the given expression.