
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 two lines $x-2y+4=0$ and $x+y-2=0$ intersect at point P, and line $l$ passes through point P and is perpendicular to the line $5x+3y-6=0$.
(Ⅰ) Find the equation of line $l$;
(Ⅱ) Find the equation of the line symmetric to line $l$ with respect to the origin.

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