
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
(1) Find the equation of the line that passes through point A(2, 3) and is perpendicular to the line $3x + 2y - 1 = 0$;  
(2) Given that line $l$ passes through the origin and the distance from point M(5, 0) to line $l$ is 3, find the equation of line $l$.

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