Let's simplify the expression step by step:
The expression we have is:
4 + 8(3x - 2) - 7x
Step 1: Distribute the 8
First, we need to use the distributive property. This means we'll multiply 8 by each term inside the parentheses (3x and -2).
8(3x) = 24x
8(-2) = -16
So, we rewrite the expression:
4 + 24x - 16 - 7x
Step 2: Combine like terms
Next, we can combine the numbers and the terms that have x.
Start with the numbers:
4 - 16 = -12
Now look at the terms with x:
24x - 7x = 17x
Now, we can rewrite the expression:
17x - 12
Final Answer
So, the simplified expression is:
17x - 12
This is our final answer!