
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
Given that there are $r$ red marbles, $1.3r$ blue marbles, $1.5(1.3r) = 1.95r$ green marbles, and $0.8(1.95r) = 1.56r$ yellow marbles, by letting $x$ denote the total number of marbles in the collection, express $x$ in terms of $r$.

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