Final answer:
The sum of 8, x, -28x - 2, and -3x^2 - 7 - 3x^2 - 7 is -6x^2 - 27x - 8, which does not match any of the provided answer choices, indicating a possible error in the problem's transcription or the answer choices.
Step-by-step explanation:
The student is asking to find the sum of 8, x, -28x - 2, and -3x2 - 7 - 3x2 - 7. When we combine like terms, we have:
- 8, which is a constant,
- x - 28x, which combines to -27x (since x - 28x = -27x),
- -3x2 - 3x2, which combines to -6x2 (since -3x2 - 3x2 = -6x2), and
- -2 - 7 -7, which combines to -16 (since -2 - 7 - 7 = -16).
Therefore, the sum is -6x2 - 27x + 8 - 16, which simplifies to -6x2 - 27x - 8.