
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
A function $f$ satisfies $f(5x) = 5f(x)$ for all positive real values of $x$, and $f(x) = 2 - |x - 4|$ for $2\leq x \leq 6$. Find the smallest $x$ for which $f(x) = f(2001)$.

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