To simplify the expression \( 12e - 5f - 7e + 3f \), we can combine like terms:
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Combine the \( e \) terms: \( 12e - 7e = 5e \)
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Combine the \( f \) terms: \( -5f + 3f = -2f \)
Now we can put it all together:
The simplified expression is: \[ 5e - 2f \]