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 will apply the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) and the distributive property.
Given expression: 4 + 8(3x - 2) - 7x
1. Distributive property:
= 4 + (8 * 3x) - (8 * 2) - 7x
= 4 + 24x - 16 - 7x
2. Combine like terms:
= (24x - 7x) + (4 - 16)
= 17x - 12
Therefore, the simplified expression is 17x - 12.