
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
$(1)$ Simplify $\left(2x+1\right)^{2}-\left(2x+1\right)\left(2x-1\right)+\left(x+1\right)\left(x-3\right)$, and choose a value for $x$ that you like to substitute in and evaluate.<br/>$(2)$ For the system of equations $\left\{{\begin{array}{l}{x+y=1}\\{kx+({k-1})y=7}\end{array}}\right.$, where $x$ and $y$ satisfy $3x-2y=5$, find the value of $k$.

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