
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 $f(x)=|2x+3|+|2x-1|$.
(1) Find the solution set of the inequality $f(x) < 10$;
(2) If for any $x \in \mathbb{R}$, $f(x) \geqslant |a-1|$ always holds, find the range of real number $a$.

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