
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
A point \((x, y)\) is to be chosen in the coordinate plane so that it is equidistant from the x-axis, the y-axis, and the line \(x+y=3\). Determine the value of \(x\).
\(\text{A) } 1.5 \quad \text{B) } 2 \quad \text{C) } 2.5 \quad \text{D) } 1 \quad \text{E) } \text{Not uniquely determined}\)

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