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, we can follow the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) and apply the distributive property if necessary.
Given expression: 4 + 8(3x - 2) - 7x
1) Distribute the 8 to the terms inside the parentheses:
8 * 3x = 24x
8 * -2 = -16
The expression becomes: 4 + 24x - 16 - 7x
2) Combine like terms:
(4 - 16) + (24x - 7x)
-12 + 17x
Therefore, the simplified expression is -12 + 17x.