what is the expression 4+8(3x- 2) - 7x when simplified? apply the order of operation and the commutative and distributive properties show all your work
To simplify the expression, we will apply the order of operations (PEMDAS) and the distributive property.
Given expression: 4 + 8(3x - 2) - 7x
First, we will simplify the expression within the parentheses:
3x - 2
Next, we will use the distributive property to multiply 8 by (3x - 2):
8(3x) - 8(2) = 24x - 16
Now we substitute these simplified expressions back into the main expression:
4 + 24x - 16 - 7x
Using the commutative property, we can rearrange the terms:
4 - 16 + 24x - 7x
Combine like terms:
-12 + 17x
Therefore, when simplified, the expression 4 + 8(3x - 2) - 7x is equal to -12 + 17x.