Bot GPT 4-o mini To solve the equation \(-3 (-5x + 2) + x - 3 = 39\), let's first simplify the left-hand side step by step.
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Distribute \(-3\) to terms inside the parentheses: \[ -3 \times -5x + (-3) \times 2 = 15x - 6 \] So, we can rewrite the equation as: \[ 15x - 6 + x - 3 = 39 \]
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Combine like terms on the left side: \[ 15x + x - 6 - 3 = 39 \] This simplifies to: \[ 16x - 9 = 39 \]
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Now, isolate \(16x\) by adding \(9\) to both sides: \[ 16x - 9 + 9 = 39 + 9 \] Which simplifies to: \[ 16x = 48 \]
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Finally, solve for \(x\) by dividing both sides by \(16\): \[ x = \frac{48}{16} = 3 \]
Thus, the solution is: \[ \boxed{3} \]
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