
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 $f(x) = \ln(x + a)$, the tangent line at the point $(1, f(1))$ is parallel to the line $x - 2y = 0$.
(I) Find the value of $a$.
(II) Let $g(x) = \frac{f(x)}{x}$, find the monotonic intervals of the function $g(x)$.

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