1. **State the problem:** Calculate the value of the expression $(3 \times 3) - (3 + 3)$.\n\n2. **Recall the order of operations:** Multiplication and division are performed before addition and subtraction.\n\n3. **Calculate each part:**\n- Multiply: $3 \times 3 = 9$.\n- Add: $3 + 3 = 6$.\n\n4. **Subtract the results:**\n$$9 - 6 = 3$$\n\n5. **Final answer:** The value of the expression is $3$.