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A positive integer \(x\) has \(3\) distinct prime factors, \(a\), \(b\), and \(c\), so that \(abc=x\). Another positive integer, \(y\), which equals to \(x+1\), has \(3\) distinct prime factors, \(a-1\), \(b+7\), \(c-8\).

What are the last three digits of the sum \(a+b+c+x+y\)?

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