
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
Given that points \( A(2,2) \) and \( C(8,4) \) are two of the vertices of an isosceles right-angled triangle \( ABC \), where vertex \( B \) is located on the \( x \)-axis and \( \angle ABC = 90^\circ \), find the \( x \)-coordinate of \( B \).

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