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Simplify this algebraic expression completely.

[tex]\[ 7x - 5(x + 6) \][/tex]

A. [tex]\[ 2x + 1 \][/tex]

B. [tex]\[ 2x + 11 \][/tex]

C. [tex]\[ 2x - 30 \][/tex]

D. [tex]\[ 2x - 1 \][/tex]

Sagot :

GinnyAnswer
Let's simplify the given algebraic expression step-by-step:

Given expression:
[tex]\[ 7x - 5(x + 6) \][/tex]

1. Distribute the [tex]\(-5\)[/tex] through [tex]\((x + 6)\)[/tex]:
[tex]\[ 7x - 5 \cdot x - 5 \cdot 6 \][/tex]

2. Perform the multiplication:
[tex]\[ 7x - 5x - 30 \][/tex]

3. Combine like terms ([tex]\(7x - 5x\)[/tex]):
[tex]\[ (7 - 5)x - 30 \][/tex]
[tex]\[ 2x - 30 \][/tex]

So, the simplified expression is:
[tex]\[ 2x - 30 \][/tex]

Now, let's compare this simplified expression with the given choices:

A. [tex]\(2x + 1\)[/tex]

B. [tex]\(2x + 11\)[/tex]

C. [tex]\(2x - 30\)[/tex]

D. [tex]\(2x - 1\)[/tex]

The simplified expression [tex]\(2x - 30\)[/tex] matches choice C.

Therefore, the correct answer is:
[tex]\[ \boxed{C} \][/tex]
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