
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
Given the function $f(x)=x^{2}+(\log_{10} a+2)x+\log_{10} b$ that satisfies $f(-1)=-2$ and $f(x)\geqslant 2x$ for any $x\in R$.
(1) Find the values of real numbers $a$ and $b$.
(2) Solve the inequality $f(x) < x+5$.

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