
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 team scored 2 points in one game, 3 points in one game, 4 points in one game, 5 points in one game, 6 points in one game, 7 points in one game, 8 points in one game, and 9 points in one game. They lost by one point in exactly three of these games, won by scoring twice as many points as their opponents in two games, and won by scoring three times as many points as their opponents in the remaining games. Determine the total number of points scored by their opponents.

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