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To factor the expression \(100x + 1000\) completely, we can first factor out the greatest common factor (GCF), which is \(100\):
\[
100x + 1000 = 100(x + 10)
\]
Thus, the completely factored form of the expression is:
\[
100(x + 10)
\]
So, the correct response is:
**100(x+10)**