
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 equation of the plane which passes through the points $(2, -1, 3)$ and $(1, 3, -4)$, and which is parallel to the plane $3x - 4y + z = 5$. Enter your answer in the form
\[Ax + By + Cz + D = 0,\] where $A,$ $B,$ $C,$ and $D$ are integers and the terms are kept using the smallest possible integers where $A > 0$.

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