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.
(4 points)
To simplify the expression 4+8(3x−2)−7x, we need to follow the order of operations, which states that we should perform any operations inside parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
First, let's distribute the 8 to the terms inside the parentheses:
4 + 8(3x - 2) - 7x
= 4 + 24x - 16 - 7x
Next, let's simplify the expression by combining like terms:
= 4 - 16 + 24x - 7x
= -12 + 17x
So, the simplified expression is -12 + 17x.