
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
Find the equation of the line that satisfies the following conditions:
1. Find the line $l$ that passes through the intersection of lines $l_{1}: x+3y-3=0$ and $l_{2}: x-y+1=0$, and is parallel to the line $2x+y-3=0$.
2. Given the line $l_{1}: 2x+y-6=0$ and the point $A(1,-1)$, draw line $l$ through point $A$ intersecting with $l_{1}$ at point $B$, and $|AB|=5$, find the equation of line $l$.

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