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12. What's the simplified form of [tex]$x - 1 + 4 + 7x - 3$[/tex]?

A. [tex]$6x$[/tex]
B. [tex][tex]$8x + 6$[/tex][/tex]
C. [tex]$6x + 3$[/tex]
D. [tex]$8x$[/tex]

Sagot :

GinnyAnsweridn
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]
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