
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 functions f(x) = |x - a| + 2 + a and g(x) = |x - 1| + |2x + 4|.

1. Solve the inequality g(x) < 6.
2. If for any x₁ ∈ R, there exists x₂ ∈ R such that g(x₁) = f(x₂) holds, find the range of values for the real number a.

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