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Modular Arithmetichard
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Find the smallest positive integer xxx such that x≡2(mod3)x \equiv 2 \pmod{3}x≡2(mod3), x≡3(mod5)x \equiv 3 \pmod{5}x≡3(mod5), and x≡2(mod7)x \equiv 2 \pmod{7}x≡2(mod7).