
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
Determine the number of distinct points at which the graphs of the equations 
\[
(x - y + 3)(3x + y - 7) = 0 \text{ and } (x + y - 3)(2x - 5y + 12) = 0
\]
intersect.
A) 2  
B) 4  
C) 6  
D) 16  
E) $\infty$

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