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Perform the indicated operation: (x + 1) – (–4 + 8x).

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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.

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