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Solve for [tex]\( x \)[/tex]:

[tex]\[ \frac{1}{3} x = -4 \][/tex]

Choose one:

A. [tex]\( x = -12 \)[/tex]

B. [tex]\( x = -2 \)[/tex]

C. [tex]\( x = 12 \)[/tex]

D. [tex]\( x = 1 \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(\frac{1}{3} x = -4\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Identify the fraction and understand its reciprocal: The fraction [tex]\(\frac{1}{3}\)[/tex] implies that [tex]\(x\)[/tex] is being divided by 3. To isolate [tex]\(x\)[/tex], we should multiply both sides of the equation by the reciprocal of [tex]\(\frac{1}{3}\)[/tex], which is 3.

2. Multiply both sides by 3:
[tex]\[ 3 \left(\frac{1}{3} x \right) = 3(-4) \][/tex]
Simplifying both sides, we get:
[tex]\[ x = -12 \][/tex]

So, the value of [tex]\(x\)[/tex] that satisfies the equation [tex]\(\frac{1}{3} x = -4\)[/tex] is [tex]\(x = -12\)[/tex].

Therefore, the correct choice is:
- [tex]\(x = -12\)[/tex]
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