
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
The sum of the binomial coefficients in the expansion of $\left(2-x\right)^{10}$ is given by the value of $\left(2-x\right)^{10}$ evaluated at $x=1$, the sum of the coefficients is given by the value of $\left(2-x\right)^{10}$ evaluated at $x=2$, and the coefficient of the linear term is given by the value of the second derivative of $\left(2-x\right)^{10}$ evaluated at $x=0$. Calculate the value of $\left(\text{sum of coefficients}\right) + \left(\text{sum of binomial coefficients}\right) + \left(\text{coefficient of linear term}\right)$.

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