
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 four consecutive soccer matches of a season, a player scored $18$, $12$, $15$, and $14$ goals, respectively. His goals-per-game average was higher after these four games compared to the previous three games. If his total number of goals after seven matches is at least $100$, determine the minimum number of goals he must have scored in the three previous matches.

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