
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
(1) Solve the equation: $\frac{2}{x+3} - \frac{x-3}{2x+6} = 1$,
(2) Solve the system of inequalities: $\begin{cases} 2x - 1 > 3(x - 1) \\ \frac{5 - x}{2} < x + 4 \end{cases}$.

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