
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, the logarithm values of two entries are incorrect. Please correct them:

\begin{tabular}{|c|c|c|c|c|}
\hline$x$ & 0.021 & 0.27 & 1.5 & 2.8 \\
\hline $\lg x$ & $2 a+b+c-3$ & $6 a-3 b-2$ & $3 a-b+c$ & $1-2 a+2 b-c$ \\
\hline \hline$x$ & 3 & 5 & 6 & 7 \\
\hline $\lg x$ & $2 a-b$ & $a+c$ & $1+a-b-c$ & $2(a+c)$ \\
\hline \hline$x$ & 8 & 9 & 14 & \\
\hline $\lg x$ & $3-3 a-3 c$ & $4 a-2 b$ & $1-a+2 b$ & \\
\hline
\end{tabular}

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