
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]


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Three positive integers $a,$ $b,$ and $x$ form an O'Reilly triple $(a,b,x)$ if $\sqrt[3]{a}+\sqrt{b}=x.$ Given $(8,49,x)$ as an O'Reilly triple, determine the value of $x.$

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