
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
In a famous Chinese mathematics book called "Nine Chapters on the Mathematical Art," there is a mathematical problem recorded as follows: "Today, a group of people jointly buy sheep. If each person contributes 5 coins, there will be a shortage of 45 coins; if each person contributes 7 coins, there will be a shortage of 3 coins. What are the number of people and the price of the sheep?" In other words, suppose a group of people jointly buy sheep. If each person contributes $5$ coins, there will be a shortage of $45$ coins; if each person contributes $7$ coins, there will be a shortage of $3$ coins. What are the number of people and the price of the sheep? Let the price of the sheep be $x$ coins, then the equation in terms of $x$ can be written as ____.

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