
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 Extended O'Hara triple $(a,b,x)$ if $2\sqrt{a}+\sqrt{b}=x$. Determine the value of $x$ if $(49, 64, x)$ is an Extended O'Hara triple.

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