
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
Suppose the function $f(x)=|x-m|+|x+6|$, where $m\in\mathbb{R}$
(I) When $m=5$, find the solution set for the inequality $f(x)\leqslant 12$;
(II) If the inequality $f(x)\geqslant 7$ holds for any real number $x$, find the range of $m$.

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