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Simplifying 0.5x + 25 = 3x + -46 Reorder the terms: 25 + 0.5x = 3x + -46 Reorder the terms: 25 + 0.5x = -46 + 3x Solving 25 + 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. 25 + 0.5x + -3x = -46 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 25 + -2.5x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -2.5x = -46 + 0 25 + -2.5x = -46 Add '-25' to each side of the equation. 25 + -25 + -2.5x = -46 + -25 Combine like terms: 25 + -25 = 0 0 + -2.5x = -46 + -25 -2.5x = -46 + -25 Combine like terms: -46 + -25 = -71 -2.5x = -71 Divide each side by '-2.5'. x = 28.4 Simplifying x = 28.4
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