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solve for x. \\-3x = 12\\ \\x = ?\\

Question

solve for x.

\\-3x = 12\\

\\x = ?\\

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Linear Equations",
"One-Step Equations"
],
"new_concepts": [],
"current_concepts": [
"Linear Equations",
"One-Step Equations"
]
}
</pre_analysis>

<reasoning>

Identify the given equation

Using the Linear Equations knowledge point
\[
-3x = 12
\]

Isolate the variable x

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} x &= \frac{12}{-3} \\ x &= -4 \end{aligned}$$

\]
</reasoning>

<answer>
Solve for \(x\).
\[-3x = 12\]
\(x =\) <blank>-4</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Linear Equations",
"One-Step Equations"
],
"new_concepts": [],
"current_concepts": [
"Linear Equations",
"One-Step Equations"
]
}
</pre_analysis>

<reasoning>

Identify the given equation

Using the Linear Equations knowledge point
\[
-3x = 12
\]

Isolate the variable x

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} x &= \frac{12}{-3} \\ x &= -4 \end{aligned}$$

\]
</reasoning>

<answer>
Solve for \(x\).
\[-3x = 12\]
\(x =\) <blank>-4</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equations"
]
}
</post_analysis>