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What is the simplified form of [tex]$x - 1 + 4 + 7x - 3$[/tex]?

A. [tex]$6x$[/tex]

B. [tex][tex]$6x + 3$[/tex][/tex]

C. [tex]$8x + 6$[/tex]

D. [tex]$8x$[/tex]

Sagot :

GinnyAnsweridn
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]
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