
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 a line that passes through the intersection point M of two lines $l_1: 3x+4y-5=0$ and $l_2: 2x-3y+8=0$.

(1) If line $l$ is perpendicular to the line $2x+y+2=0$, find the equation of line $l$;  
(2) If line $l'$ is symmetric to line $l_1$ with respect to the point $(1, -1)$, find the equation of line $l'$.

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