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In this case you want to group the terms so they have at least two terms in common.

First step group and rewrite it:

abc + a'bc + a'b'c' + a'b'c + ab'c' + abc' =

Use the rule Identities x(y+z)=xy+xz:

bc(a+a') + a'b'(c'+c) + ac'(b'+b) =

Use the rule Identities x+x'=1:

bc (1) + a'b'(1) + ac'(1) =

Use the rule Identities x(1) = x:

bc+a'b'+ac'

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