
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 point M(2, 0), two lines $l_1: 2x+y-3=0$ and $l_2: 3x-y+6=0$, line $l$ passes through point M and intersects lines $l_1$ and $l_2$ at points A$(x_1, y_1)$ and B$(x_2, y_2)$ respectively. If A and B coincide, find the equation of line $l$. If $x_1 + x_2 \neq 0$, find the equation of line $l$.

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