
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
Please read the following material: The value of the algebraic expression $x^{2}+x+5$ is $8$, then the value of the algebraic expression $2x^{2}+2x-4$ is ______.【Reading Comprehension】 Xiao Ming's method for doing homework is as follows: From the given information, $x^{2}+x+5=8$, then we have $x^{2}+x=3$, $2x^{2}+2x-4=2(x^{2}+x)-4$, $=2\times 3-4$, $=2$. Therefore, the value of the algebraic expression $2x^{2}+2x-4$ is $2$.【Application of Methods】 (1) If the value of the algebraic expression $x^{2}+x+2$ is $9$, find the value of the algebraic expression $-2x^{2}-2x+3$. (2) When $x=2$, the value of the algebraic expression $ax^{3}+bx+4$ is $9$, when $x=-2$, find the value of the algebraic expression $ax^{3}+bx+3$.

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