To simplify the expression \( 4x - 3(2 + 7x) \), follow these steps:
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Distribute \(-3\) into the parentheses: \[ -3(2) - 3(7x) = -6 - 21x \]
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Write the expression with the distributed terms: \[ 4x - 6 - 21x \]
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Combine like terms (\(4x\) and \(-21x\)): \[ (4x - 21x) - 6 = -17x - 6 \]
Thus, the simplified expression is: \[ \boxed{-17x - 6} \]