
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 basketball league, each game must have a winner and a loser. A team earns $2$ points for a win and $1$ point for a loss. A certain team expects to earn at least $48$ points in all $32$ games of the $2012-2013$ season in order to have a chance to enter the playoffs, where $x$ represents the number of games won. Determine the relationship that $x$ must satisfy to reach the goal.

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