Final answer:
To simplify the expression 4+8(3x−2)−7x, apply the order of operations and the commutative and distributive properties. The simplified expression is -12 + 17x.
Step-by-step explanation:
To simplify the expression 4+8(3x−2)−7x, we need to apply the order of operations (PEMDAS) and the commutative and distributive properties. Here's how:
- Multiply 8 by each term inside the parentheses: 8(3x) = 24x and 8(-2) = -16
- Now the expression becomes: 4 + 24x - 16 - 7x
- Combine like terms: 24x - 7x = 17x
- Combine the remaining terms: 4 - 16 = -12
The simplified expression is -12 + 17x.