
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
The crafty rabbit and the foolish fox made an agreement: every time the fox crosses the bridge in front of the rabbit's house, the rabbit would double the fox's money. However, each time the fox crosses the bridge, he has to pay the rabbit a toll of 40 cents. If the fox's initial amount of money is denoted by x, then after crossing the bridge three times, the fox would have paid a total toll of 120 cents. But since his money doubled with each crossing, the fox's final amount of money is 8x. Given that all his money went to the rabbit, solve for x.

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