To simplify the expression \( 5(7x - 2) - 14x + 4 \), follow these steps:
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Distribute the \( 5 \) into the parentheses: \[ 5(7x) - 5(2) = 35x - 10 \]
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Substitute back into the expression: \[ 35x - 10 - 14x + 4 \]
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Combine like terms: \[ (35x - 14x) + (-10 + 4) = 21x - 6 \]
Thus, the simplified expression is: \[ \boxed{21x - 6} \]