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Simplifying 19.85 + 0.20x = 24.95 + 0.17x Solving 19.85 + 0.20x = 24.95 + 0.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.17x' to each side of the equation. 19.85 + 0.20x + -0.17x = 24.95 + 0.17x + -0.17x Combine like terms: 0.20x + -0.17x = 0.03x 19.85 + 0.03x = 24.95 + 0.17x + -0.17x Combine like terms: 0.17x + -0.17x = 0.00 19.85 + 0.03x = 24.95 + 0.00 19.85 + 0.03x = 24.95 Add '-19.85' to each side of the equation. 19.85 + -19.85 + 0.03x = 24.95 + -19.85 Combine like terms: 19.85 + -19.85 = 0.00 0.00 + 0.03x = 24.95 + -19.85 0.03x = 24.95 + -19.85 Combine like terms: 24.95 + -19.85 = 5.1 0.03x = 5.1 Divide each side by '0.03'. x = 170 Simplifying x = 170
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