Level
pending

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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