
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
Find the intersection points of the following lines:
1. \(3x - 2y = 12\)
2. \(2x + 4y = 8\)
3. \(-5x + 15y = 30\)
4. \(x = -3\)
A) (4, 0), (-3, -10.5)
B) (0, 0), (-3, -10.5)
C) (0, 0), (4, 0)
D) No intersection

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