
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 $f(x)=ax+\ln x(a∈R)$.
(I) If $a=2$, find the equation of the tangent line to the curve $y=f(x)$ at $x=1$;
(II) Find the monotonic intervals of $f(x)$;
(III) If $f(x) < 2$ holds for any $x∈(0,+∞)$, find the range of values for the real number $a$.

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