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Simplifying 0.6x + 0.25(60) = 0.5(x + 60) Multiply 0.25 * 60 0.6x + 15 = 0.5(x + 60) Reorder the terms: 15 + 0.6x = 0.5(x + 60) Reorder the terms: 15 + 0.6x = 0.5(60 + x) 15 + 0.6x = (60 * 0.5 + x * 0.5) 15 + 0.6x = (30 + 0.5x) Solving 15 + 0.6x = 30 + 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. 15 + 0.6x + -0.5x = 30 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 15 + 0.1x = 30 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + 0.1x = 30 + 0.0 15 + 0.1x = 30 Add '-15' to each side of the equation. 15 + -15 + 0.1x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 30 + -15 0.1x = 30 + -15 Combine like terms: 30 + -15 = 15 0.1x = 15 Divide each side by '0.1'. x = 150 Simplifying x = 150
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