
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
Determine the equation of the line that satisfies the following conditions:
(I) Passes through the intersection point of line $l_1: 2x-3y-1=0$ and line $l_2: x+y+2=0$, and is perpendicular to the line $2x-y+7=0$;
(II) Passes through the point $(-3, 1)$, and the sum of its intercepts on the two coordinate axes is $-4$.

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