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Solve the following system of congruences: $$x \equiv 2 \pmod 5$$ $$x \equiv 1 \pmod8$$ $$x \equiv 7 \pmod 9$$ $$\quad x \equiv -3 \pmod {11}$$

i have no idea how to go about starting this, any help would be much appreciated.

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    Can you give *at least* some ideas?2012-11-28

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