
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 the function f(x) = |x - 2| - |x + a|, where a is a real number.
(I) Solve the inequality f(x) + x > 0 when a = 1.
(II) Find the range of values for the real number a such that f(x) ≤ 3 holds true for any x in the set of real numbers.

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