Bot GPT 4-o mini To solve the equation \(-2(x+3)+5x=-15\), we will follow these steps:
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Distribute \(-2\) across the term \((x + 3)\): \[ -2(x + 3) = -2x - 6 \]
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Substitute this back into the equation: \[ -2x - 6 + 5x = -15 \]
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Combine like terms: \[ (-2x + 5x) - 6 = -15 \] \[ 3x - 6 = -15 \]
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Add 6 to both sides to isolate the term with \(x\): \[ 3x - 6 + 6 = -15 + 6 \] \[ 3x = -9 \]
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Divide both sides by 3 to solve for \(x\): \[ x = \frac{-9}{3} \] \[ x = -3 \]
So the solution to the equation \(-2(x + 3) + 5x = -15\) is: \[ \boxed{-3} \]
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