What is the expression 4+8(3x-2)-7x when simplified? Apply the order of operations and the commutative and distributive properties.

Answer 1

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

First, let's simplify the expression inside the parentheses: 3x - 2.

Next, we need to distribute the 8 to the terms inside the parentheses:

8(3x - 2) = 8 * 3x - 8 * 2 = 24x - 16

So the expression becomes:

4 + 24x - 16 - 7x

Now, we need to combine like terms.

The terms 24x and -7x can be combined to give 17x:

4 + 17x - 16

Finally, we can combine the constant terms 4 and -16 to give -12:

-12 + 17x

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