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Simplifying 0.20x + 7.5 = 0.27x + 25 Reorder the terms: 7.5 + 0.20x = 0.27x + 25 Reorder the terms: 7.5 + 0.20x = 25 + 0.27x Solving 7.5 + 0.20x = 25 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. 7.5 + 0.20x + -0.27x = 25 + 0.27x + -0.27x Combine like terms: 0.20x + -0.27x = -0.07x 7.5 + -0.07x = 25 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 7.5 + -0.07x = 25 + 0.00 7.5 + -0.07x = 25 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.07x = 25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.07x = 25 + -7.5 -0.07x = 25 + -7.5 Combine like terms: 25 + -7.5 = 17.5 -0.07x = 17.5 Divide each side by '-0.07'. x = -250 Simplifying x = -250
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