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