The sentence in the underlined word most clearly has the same denotation as a crime can be seen in the following examples:
Context:
1. Jack's offense was minor so he thought it better not to report it.
Context- In this case, the synonym or the closest word that comes close to crime is "offense", without losing any original meaning, even though it might not have the same connotation.
2. Rose apologized for spilling the juice, even though it was a minor misdeed.
Context- In this case, the synonym or the closest word that comes close to crime is "minor misdeed", without losing any original meaning even though it might not have the same connotation.
3. Bob made a mistake and apologized for it.
Context- In this case, the synonym or the closest word that comes close to crime is "apologized", without losing any original meaning even though it might not have the same connotation.
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