
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 $P(3,2)$, a line $l$ passes through point $P$,

$①$ If the sum of the intercepts of line $l$ on the two coordinate axes is $12$, find the equation of line $l$;

$②$ If line $l$ intersects the positive semi-axes of $x$ and $y$ at points $A$ and $B$ respectively, and when the area of $\Delta OAB$ is $12$, find the equation of line $l$.

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