
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
In the coordinate plane, a point $(x, y)$ needs to be the same distance from the x-axis, the y-axis, and the line $x + y = 4$. What is the x-coordinate of such a point?
A) $\sqrt{2}$  
B) $2+\sqrt{2}$  
C) $2$  
D) $1$  
E) Not uniquely determined

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