To simplify the expression \( 5(7x - 2) - 14x + 4 \), follow these steps:
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Distribute the \( 5 \) across \( (7x - 2) \): \[ 5 \cdot 7x - 5 \cdot 2 = 35x - 10 \]
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Substitute this back into the expression: \[ 35x - 10 - 14x + 4 \]
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Combine like terms. Start with the \( x \) terms: \[ 35x - 14x = 21x \]
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Now combine the constant terms: \[ -10 + 4 = -6 \]
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Put it all together: \[ 21x - 6 \]
Thus, the simplified expression is: \[ \boxed{21x - 6} \]