
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
Two forces $\overrightarrow{F_1}=(\lg 2,\lg 2)$ and $\overrightarrow{F_2}=(\lg 5,\lg 2)$ act at the same point on object $M$, causing a displacement $\overrightarrow{S}=(2\lg 5,1)$. Determine the work $W$ done by the combined forces on object $M$.

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