
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
Three positive integers $a,$ $b,$ and $x$ form an Expanded O'Hara triple $(a,b,x)$ if $2(\sqrt{a}+\sqrt{b})=x$. For example, $(1,16,10)$ is an Expanded O'Hara triple because $2(\sqrt{1}+\sqrt{16})=2(1+4)=10$.

If $(64, 49, x)$ is an Expanded O'Hara triple, determine the value of $x$.

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