
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 the line $l: y = 2x + 1$, find:  
(1) The equation of the line symmetric to $l$ with respect to point $M(3, 2)$.  
(2) The equation of the line symmetric to the line $x - y - 2 = 0$ with respect to $l$.

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