
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
Liam has $x$ candies, Mia has three times as many candies as Liam, Noah has four times as many candies as Mia, and Olivia has six times the number of candies Noah has. If in total Liam, Mia, Noah, and Olivia have 468 candies, what is the value of $x?$

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