
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 the book "Nine Chapters on the Mathematical Art," there is a mathematical problem stated as follows: A group of people jointly buy sheep. If each person contributes $5$ coins, they will be short of $45$ coins; if each person contributes $7$ coins, they will be short of $3$ coins. How many people are in the group? To solve this problem, let the number of people in the group be $x$, and the equation can be written as ______.

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