Bot GPT 4-o mini To simplify the expression \( 4 + 8(3x - 2) - 7x \), we'll follow the order of operations (also known as PEMDAS/BODMAS) and apply the distributive property. Here are the steps:
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Distribute the \( 8 \) across the terms inside the parentheses: \[ 8(3x - 2) = 8 \cdot 3x + 8 \cdot (-2) = 24x - 16 \]
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Substitute this back into the expression: \[ 4 + 24x - 16 - 7x \]
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Combine like terms (the \( x \) terms and the constant terms):
- The \( x \) terms are \( 24x - 7x \): \[ 24x - 7x = 17x \]
- The constant terms are \( 4 - 16 \): \[ 4 - 16 = -12 \]
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Now, combine these results: \[ 17x - 12 \]
Thus, the simplified expression is: \[ \boxed{17x - 12} \]
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