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Simplifying 0.10x + 24.95 = 0.20x + 19.95 Reorder the terms: 24.95 + 0.10x = 0.20x + 19.95 Reorder the terms: 24.95 + 0.10x = 19.95 + 0.20x Solving 24.95 + 0.10x = 19.95 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 24.95 + 0.10x + -0.20x = 19.95 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 24.95 + -0.1x = 19.95 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 24.95 + -0.1x = 19.95 + 0.00 24.95 + -0.1x = 19.95 Add '-24.95' to each side of the equation. 24.95 + -24.95 + -0.1x = 19.95 + -24.95 Combine like terms: 24.95 + -24.95 = 0.00 0.00 + -0.1x = 19.95 + -24.95 -0.1x = 19.95 + -24.95 Combine like terms: 19.95 + -24.95 = -5 -0.1x = -5 Divide each side by '-0.1'. x = 50 Simplifying x = 50
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