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) 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)

Make it look like a 7th grader wrote it and make it into a sentence

1 answer

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

First, we start by distributing the 8 to both terms inside the parentheses (3x and -2):

  1. Distribute 8:
    8 * 3x = 24x
    8 * -2 = -16

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

Next, we need to combine like terms. The terms with x are 24x and -7x, and the constant terms are 4 and -16:

  1. Combine the x terms:
    24x - 7x = 17x.

  2. Combine the constant terms:
    4 - 16 = -12.

Putting it all together, we get:
17x - 12.

So, when simplified, the expression 4 + 8(3x - 2) - 7x is equal to 17x - 12.