1. **Problem statement:** Simplify the expression $2x + 2 - 3x - 3 + 6x^2 - 6$. 2. **Formula and rules:** Combine like terms by adding or subtracting coefficients of the same powers of $x$. 3. **Step-by-step simplification:** - Group like terms: $(2x - 3x) + (2 - 3 - 6) + 6x^2$ - Simplify each group: $-x + (-7) + 6x^2$ - Write in standard polynomial form: $6x^2 - x - 7$ 4. **Explanation:** We combined the $x$ terms, the constants, and kept the $x^2$ term as is. 5. **Final answer:** $$6x^2 - x - 7$$