$$(x+ \frac{ 2 }{ 9 } )=(x+ \frac{ 4 }{ 11 } )=x$$
$\text{false}$
$$x+\frac{2}{9}=\left(x+\frac{4}{11}\right)\text{ and }\left(x+\frac{4}{11}\right)=x$$
$$x+\frac{2}{9}=x+\frac{4}{11}\text{ and }\left(x+\frac{4}{11}\right)=x$$
$$x+\frac{2}{9}=x+\frac{4}{11}\text{ and }x+\frac{4}{11}=x$$
$$x+\frac{2}{9}-x=\frac{4}{11}\text{ and }x+\frac{4}{11}=x$$
$$\frac{2}{9}=\frac{4}{11}\text{ and }x+\frac{4}{11}=x$$
$$\frac{22}{99}=\frac{36}{99}\text{ and }x+\frac{4}{11}=x$$
$$\text{false}\text{ and }x+\frac{4}{11}=x$$
$$\text{false}\text{ and }x+\frac{4}{11}-x=0$$
$$\text{false}\text{ and }\frac{4}{11}=0$$
$$\text{false}\text{ and }\text{false}$$
$$\text{false}$$
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