
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
$(1)$ Calculate: $211\times \left(-455\right)+365\times 455-211\times 545+545\times 365$;<br/>$(2)$ Calculate: $[-\frac{7}{5}×(-2\frac{1}{2})-1]\div 9\div \frac{1}{(-0.75)^{2}}-|2+(-\frac{1}{2})^{3}×{5}^{2}|$;<br/>$(3)$ Calculate: $\left(3x+2\right)\left(x+1\right)+2\left(x-3\right)\left(x+2\right)$;<br/>$(4)$ Solve the equation: $\frac{2x+3}{6}-\frac{2x-1}{4}=1$.

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