
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
Given the scale's inaccuracy for weights below $120$ pounds or above $160$ pounds, and knowing the results of weighing the boxes in pairs as $132$, $135$, and $137$ pounds, with each box weighing more than $40$ pounds, calculate the combined weight of the three boxes.

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