
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

Three material points with masses \( m_{1}=2 \) kg, \( m_{2}=3 \) kg, and \( m_{3}=4 \) kg are sequentially located on a straight line. The distance between points 1 and 2 is \( 25 \) cm. The distance between points 2 and 3 is \( 75 \) cm. Determine the distance from point 1 to the center of mass of this system of three points.

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