
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
Complete the following questions:

1. Find the intercepts of the line $2x + 5y - 20 = 0$ on the $x$-axis and $y$-axis.
2. Find the equation of the line that is parallel to the line $x - y + 2 = 0$ and has a distance of $\sqrt{2}$ from it.
3. Given two points $M(7, -1)$ and $N(-5, 4)$, find the equation of the perpendicular bisector of line segment $MN$.

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