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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 = -70 -2.5x = -70 Divide each side by '-2.5'. x = 28 Simplifying x = 28
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