
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
In the table below, two of the logarithmic values are incorrect. Please correct them.
\begin{tabular}{|c|c|c|c|}
\hline$x$ & $\lg x$ & $x$ & $\lg x$ \\
\hline 0.021 & $2 a+b+c-3$ & 6 & $1+a-b-c$ \\
\hline 0.27 & $6 a-3 b-2$ & 7 & $2(b+c)$ \\
\hline 1.5 & $3 a-b+c$ & 8 & $3-3 a-3 c$ \\
\hline 2.8 & $1-2 a+2 b-c$ & 9 & $4 a-2 b$ \\
\hline 3 & $2 a-b$ & 14 & $1-a+2 b$ \\
\hline 5 & $a+c$ & & \\
\hline
\end{tabular}

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