
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 $l: x + 2y - 2 = 0$. Find:
(1) The coordinates of the reflection of point $P(-2, -1)$ across the line $l$.
(2) The equation of the line that is the reflection of line $l$ about the point $(1, 1)$.

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