
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 \((x, y)\) in the coordinate plane needs to be equally distant from the y-axis, the line \(x = 2\), and the line \(y = 2x + 4\). Determine the x-coordinate of such a point.
A) \( 0 \)  
B) \( 1 \)  
C) \( 2 \)  
D) \( 3 \)  
E) \( 4 \)

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