
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 equations (systems):  
$(1) \frac{{3x+2}}{2}-1=\frac{{2x-1}{4}$;  
$(2) \left\{\begin{array}{l}{3x-2y=9}\\{2x+3y=19}\end{array}\right.$.

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