
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
The equation of the line l passes through the intersection point P of l1: x + y - 2 = 0 and l2: x - y - 4 = 0, and also passes through the midpoint Q of the segment AB, where A(-1,3) and B(5,1). Find the equation of the line l.

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