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b. \\(8.88 = 4.44x - 31.08\\)

Question

b. \\(8.88 = 4.44x - 31.08\\)

Explanation:

Response

<pre_analysis>
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"quality": "clear",
"question_count": 1,
"skills_matched": [
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],
"needs_drawing": false,
"concepts_used": [
"Two-Step Equations",
"Division Property of Equality"
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<reasoning>

Isolate the variable term

\[

$$\begin{aligned} 8.88 &= 4.44x - 31.08 \\ 8.88 + 31.08 &= 4.44x \\ 39.96 &= 4.44x \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} x &= \frac{39.96}{4.44} \\ x &= 9 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 9\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Two-Step Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Two-Step Equations",
"Division Property of Equality"
],
"new_concepts": [],
"current_concepts": [
"Two-Step Equations",
"Division Property of Equality"
]
}
</pre_analysis>

<reasoning>

Isolate the variable term

\[

$$\begin{aligned} 8.88 &= 4.44x - 31.08 \\ 8.88 + 31.08 &= 4.44x \\ 39.96 &= 4.44x \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} x &= \frac{39.96}{4.44} \\ x &= 9 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 9\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Two-Step Equations"
]
}
</post_analysis>