
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 \\(f(x) = |3x-2| + |x-2|\\).

\\((I)\\) Solve the inequality \\(f(x) = |3x-2| + |x-2| \leqslant 8\\);

\\((II)\\) For any \\(x\\), \\(f(x) \geqslant (m^{2}-m+2) \cdot |x|\\) always holds, find the range of the real number \\(m\\).

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