
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
\(\frac{\sqrt{2}(x-a)}{2 x-a} - \left(\left(\frac{\sqrt{x}}{\sqrt{2 x}+\sqrt{a}}\right)^2+\left(\frac{\sqrt{2 x}+\sqrt{a}}{2 \sqrt{a}}\right)^{-1}\right)^{1/2}\)

Given: \(a = 0.32, x = 0.08\)

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