
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 the price of each basketball is $20$ yuan more than the price of each soccer ball, and the quantity of basketballs purchased with $1500$ yuan is $5$ more than the quantity of soccer balls purchased with $800$ yuan, determine the equation if the price of each soccer ball is denoted as $x$ yuan.

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