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Simplifying 0.25x + 13 = 0.5x + 31.75 Reorder the terms: 13 + 0.25x = 0.5x + 31.75 Reorder the terms: 13 + 0.25x = 31.75 + 0.5x Solving 13 + 0.25x = 31.75 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 13 + 0.25x + -0.5x = 31.75 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 13 + -0.25x = 31.75 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 13 + -0.25x = 31.75 + 0.0 13 + -0.25x = 31.75 Add '-13' to each side of the equation. 13 + -13 + -0.25x = 31.75 + -13 Combine like terms: 13 + -13 = 0 0 + -0.25x = 31.75 + -13 -0.25x = 31.75 + -13 Combine like terms: 31.75 + -13 = 18.75 -0.25x = 18.75 Divide each side by '-0.25'. x = -75 Simplifying x = -75
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