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Simplifying 0.5x + -24 = 3x + -46 Reorder the terms: -24 + 0.5x = 3x + -46 Reorder the terms: -24 + 0.5x = -46 + 3x Solving -24 + 0.5x = -46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 0.5x + -3x = -46 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -24 + -2.5x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -2.5x = -46 + 0 -24 + -2.5x = -46 Add '24' to each side of the equation. -24 + 24 + -2.5x = -46 + 24 Combine like terms: -24 + 24 = 0 0 + -2.5x = -46 + 24 -2.5x = -46 + 24 Combine like terms: -46 + 24 = -22 -2.5x = -22 Divide each side by '-2.5'. x = 8.8 Simplifying x = 8.8
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