
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 or systems of equations:<br/>
$(1)3\left(x+8\right)-5=6\left(2x-1\right)$;<br/>
$(2)\frac{{3x-2}}{2}=\frac{{4x+2}}{3}-1$;<br/>
$(3)\left\{{\begin{array}{l}{3x-7y=8}\\{2x+y=11}\end{array}}\right.$;<br/>
$(4)\left\{{\begin{array}{l}{a-b+c=0}\\{4a+2b+c=3}\\{25a+5b+c=60}\end{array}}\right.$.

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