
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
Given \\(f(x) = |x + 1| - |ax - 1| \\).

\\((1)\\) When \\(a = 1\\), find the solution set of the inequality \\(f(x) > 1 \\).

\\((2)\\) If the inequality \\(f(x) > x \\) holds for \\(x \in (0, 1)\\), find the range of values for \\(a\\).

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