what is the expression 4 + 8 (3x-2) -7x when simplified? apply the order of operations and the commutative and distributive properties. show all your work.
To simplify the expression 4 + 8(3x - 2) - 7x, we need to follow the order of operations and apply the commutative and distributive properties. Let's proceed step by step:
1. Firstly, distribute the 8 to each term within the parentheses:
4 + 8 * 3x - 8 * 2 - 7x
2. Simplify within the parentheses:
4 + 24x - 16 - 7x
3. Combine like terms:
(24x - 7x) + (4 - 16)
4. Combine like terms within each group of parentheses:
17x - 12
Therefore, the simplified expression is 17x - 12.