
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $x$ be a positive integer, and define the integers $n = x^2 + 4x + 23$ and $d = 3x + 7$. When dividing $n$ by $d$, the quotient is $x$, and the remainder is $2$. Find $x$.

Present the answer in LaTex format: \boxed{Your answer}
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