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Simplifying -0.5273x + 41.455 = 0.7545x + 24.227 Reorder the terms: 41.455 + -0.5273x = 0.7545x + 24.227 Reorder the terms: 41.455 + -0.5273x = 24.227 + 0.7545x Solving 41.455 + -0.5273x = 24.227 + 0.7545x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7545x' to each side of the equation. 41.455 + -0.5273x + -0.7545x = 24.227 + 0.7545x + -0.7545x Combine like terms: -0.5273x + -0.7545x = -1.2818x 41.455 + -1.2818x = 24.227 + 0.7545x + -0.7545x Combine like terms: 0.7545x + -0.7545x = 0.0000 41.455 + -1.2818x = 24.227 + 0.0000 41.455 + -1.2818x = 24.227 Add '-41.455' to each side of the equation. 41.455 + -41.455 + -1.2818x = 24.227 + -41.455 Combine like terms: 41.455 + -41.455 = 0.000 0.000 + -1.2818x = 24.227 + -41.455 -1.2818x = 24.227 + -41.455 Combine like terms: 24.227 + -41.455 = -17.228 -1.2818x = -17.228 Divide each side by '-1.2818'. x = 13.44047433 Simplifying x = 13.44047433
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