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Simplifying 15x + 45.5 = 20x + 20.5 Reorder the terms: 45.5 + 15x = 20x + 20.5 Reorder the terms: 45.5 + 15x = 20.5 + 20x Solving 45.5 + 15x = 20.5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 45.5 + 15x + -20x = 20.5 + 20x + -20x Combine like terms: 15x + -20x = -5x 45.5 + -5x = 20.5 + 20x + -20x Combine like terms: 20x + -20x = 0 45.5 + -5x = 20.5 + 0 45.5 + -5x = 20.5 Add '-45.5' to each side of the equation. 45.5 + -45.5 + -5x = 20.5 + -45.5 Combine like terms: 45.5 + -45.5 = 0.0 0.0 + -5x = 20.5 + -45.5 -5x = 20.5 + -45.5 Combine like terms: 20.5 + -45.5 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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