
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 that $f(x) = \ln{x}$, $g(x) = \frac{1}{2}x^2 + mx + \frac{7}{2}$ ($m < 0$), the line $l$ is tangent to both the graphs of functions $f(x)$ and $g(x)$, and the point of tangency with the graph of function $f(x)$ is $(1, f(1))$. Find the value of $m$.

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