
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 two lines $l_1: 2x - y - 5 = 0$ and $l_2: x + y - 5 = 0$.
(I) Determine the distance from the point $P(3, 0)$ to the line $l_1$.
(II) Let line $m$ pass through the point $P(3, 0)$ and intersect with lines $l_1$ and $l_2$ at points $M$ and $N$, respectively, where $P$ is the midpoint of segment $MN$. Find the equation of line $m$ in standard form.

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