Final answer:
To solve the operation (x + 1) − (−4 + 8x), distribute the negative sign and combine like terms to get the final expression -7x + 5.
Step-by-step explanation:
To perform the indicated operation (x + 1) − (−4 + 8x), we first distribute the negative sign to each term inside the second parenthesis. This changes the signs of the terms inside.
So, (x + 1) - (-4 + 8x) becomes (x + 1) + 4 - 8x.
Now, combine like terms:
- Combine the x terms: x - 8x = -7x
- Combine the constant terms: 1 + 4 = 5
The resulting expression is -7x + 5.