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'll apply the distributive property first, then combine like terms.
First, we'll distribute the 8 into the parentheses:
4 + 8 * 3x - 8 * 2 - 7x
Simplifying further:
4 + 24x - 16 - 7x
To combine like terms, we'll add the coefficients of the x terms and add or subtract the constant terms:
(24x - 7x) + (4 - 16)
= 17x - 12
Therefore, the simplified expression is 17x - 12.