
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
(I) If the solution set of the inequality $|2x - a| + a \leq 6$ is $\{x \mid -2 \leq x \leq 3\}$, find the value of the real number $a$.

(II) If the inequality $|2a + b| + |2a - b| \geq |a|(|2 + x| + |2 - x|)$ is always true, find the range of values for the real number $x$.

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