
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) = |ax - 1|\\).
\\((\\)I\\()\\) If the solution set of \\(f(x) \leqslant 2\\) is \\([-6, 2]\\), find the value of the real number \\(a\\);
\\((\\)II\\()\\) When \\(a = 2\\), if there exists \\(x \in \mathbb{R}\\) such that the inequality \\(f(2x + 1) - f(x - 1) \leqslant 7 - 3m\\) holds, find the range of values for the real number \\(m\\).

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