Let's simplify the expression \( 4 + 8(3x - 2) - 7x \).
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Start by distributing the \( 8 \) across the terms in the parentheses: \[ 8(3x - 2) = 24x - 16 \]
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Now substitute this back into the expression: \[ 4 + (24x - 16) - 7x \]
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Combine like terms:
- Combine the constant terms: \( 4 - 16 = -12 \)
- Combine the \( x \) terms: \( 24x - 7x = 17x \)
Putting it all together, we have: \[ 17x - 12 \]
Thus, the simplified expression is: \[ \boxed{17x - 12} \]