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. (1 point) To get the question right, the answer is clear and correct, the answer shows that the student used problem-solving skills and reasoning, all work is shown or explained. That is how you get 4 points.

Question

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. (1 point) To get the question right, the answer is clear and correct, the answer shows that the student used problem-solving skills and reasoning, all work is shown or explained. That is how you get 4 points.

Answer 1

To simplify the expression 4 + 8(3x - 2) - 7x, we need to follow the order of operations and use the distributive property.

First, distribute the 8 to both terms inside the parentheses:
8 * 3x = 24x
8 * -2 = -16

Now, the expression becomes:
4 + 24x - 16 - 7x

Next, combine like terms:
(4 - 16) + (24x - 7x)
-12 + 17x

Therefore, the simplified expression is -12 + 17x.