
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
Solve the following equations:  
(1) $\frac {1}{2}x - 2 = 4 + \frac {1}{3}x$  
(2) $\frac {x-1}{4} - 2 = \frac {2x-3}{6}$  
(3) $\frac {1}{3}[x - \frac {1}{2}(x-1)] = \frac {2}{3}(x - \frac {1}{2})$  
(4) $\frac {x}{0.7} - \frac {0.17-0.2x}{0.03} = 1$

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