To simplify the expression \( 5(7x - 2) - 14x + 4 \), follow these steps:
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Distribute the \( 5 \) across the terms in 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:
- For the \( x \) terms: \( 35x - 14x = 21x \)
- For the constant terms: \( -10 + 4 = -6 \)
Putting it all together: \[ 21x - 6 \]
Thus, the simplified expression is: \[ \boxed{21x - 6} \]