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