To simplify the given expression [tex]\(x - 1 + 4 + 7x - 3\)[/tex], follow these steps:
1. Combine like terms:
- Identify terms involving [tex]\(x\)[/tex]: [tex]\(x\)[/tex] and [tex]\(7x\)[/tex].
- Identify constant terms: [tex]\(-1\)[/tex], [tex]\(4\)[/tex], and [tex]\(-3\)[/tex].
2. Sum the coefficients of [tex]\(x\)[/tex]:
- [tex]\(x + 7x = 8x\)[/tex].
3. Sum the constants:
- [tex]\(-1 + 4 - 3 = 0\)[/tex].
4. Combine the simplified terms:
- Adding [tex]\(8x\)[/tex] (the sum of [tex]\(x\)[/tex] terms) and [tex]\(0\)[/tex] (sum of constants) gives [tex]\(8x\)[/tex].
The simplified form of the expression [tex]\(x - 1 + 4 + 7x - 3\)[/tex] is [tex]\(8x\)[/tex].
Thus, the best answer is:
D. [tex]\(8x\)[/tex]
