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Simplifying 0.25(20) + 0.6x = 0.5(20 + x) Multiply 0.25 * 20 5 + 0.6x = 0.5(20 + x) 5 + 0.6x = (20 * 0.5 + x * 0.5) 5 + 0.6x = (10 + 0.5x) Solving 5 + 0.6x = 10 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.6x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 5 + 0.1x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.1x = 10 + 0.0 5 + 0.1x = 10 Add '-5' to each side of the equation. 5 + -5 + 0.1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 0.1x = 10 + -5 0.1x = 10 + -5 Combine like terms: 10 + -5 = 5 0.1x = 5 Divide each side by '0.1'. x = 50 Simplifying x = 50
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