To simplify the expression [tex]\( x - 1 + 4 + 7x - 3 \)[/tex], we need to combine like terms.
1. Identify the like terms: [tex]\(x\)[/tex] and [tex]\(7x\)[/tex] are like terms, and [tex]\(-1\)[/tex], [tex]\(4\)[/tex], and [tex]\(-3\)[/tex] are constants that can be combined.
2. Combine the like terms involving [tex]\(x\)[/tex]:
[tex]\[
x + 7x = 8x
\][/tex]
3. Combine the constant terms:
[tex]\[
-1 + 4 - 3 = 0
\][/tex]
4. Putting it all together, the expression simplifies to:
[tex]\[
8x + 0 = 8x
\][/tex]
The simplified form of the expression [tex]\( x - 1 + 4 + 7x - 3 \)[/tex] is thus [tex]\(8x\)[/tex].
Therefore, the correct answer is:
D. [tex]\(8x\)[/tex]
