
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
A student was using a calculator to find an approximate solution to the equation $\lg x = 2 - x$ (rounded to one decimal place). He defined $f(x) = \lg x + x - 2$ and found that $f(1) < 0$ and $f(2) > 0$. Using the "bisection method," he took four $x$ values, calculated their function values, and determined that the approximate solution to the equation is $x = 1.8$. What was the last $x$ value he took?

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