
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
In the elective course on inequalities, it is given that \\( f(x) = |2x+3| + |2x-1| \\).
\\((1)\\) Find the solution set of the inequality \\( f(x) < 8 \\).
\\((2)\\) If the inequality \\( f(x) \leqslant |3m+1| \\) has a solution for \\( x \\), determine the range of values for real number \\( m \\).

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