
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
Let $x$, $y$, and $z$ be the number of successful three-point shots, two-point shots, and one-point free throws, respectively. The team's total score was 89 points, so $3x + 2y + z = 89$. They scored twice as many points with three-point shots as with two-point shots, so $3x = 2y$. The number of free throws was twice the number of successful two-point shots minus one, so $z = 2y - 1$.

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