
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 boys have marbles in the ratio of $4x+2$, $2x+1$, and $3x$. It is known that together, they have a total of 62 marbles. How many marbles does each boy have?
A) 29, 15, 18
B) 28, 14, 21
C) $\frac{254}{9}, \frac{127}{9}, \frac{177}{9}$
D) $\frac{236}{9}, \frac{118}{9}, \frac{177}{9}$

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