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Use the Chinese Remainder Theorem to solve the following system of congruences:

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Use the Chinese Remainder Theorem to solve the following system of congruences:.

LaTeX: begin{align*}_x000D_
x&equiv 2 (text{mod }3)\_x000D_
x&equiv 4 (text{mod }5)\_x000D_
x&equiv 3 (text{mod }7)\_x000D_
x&equiv 2 (text{mod }11)_x000D_
end{align*}_x000D_

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