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Simplifying 0.10x + 0.60(600) = 0.20(x + 600) Multiply 0.60 * 600 0.10x + 360 = 0.20(x + 600) Reorder the terms: 360 + 0.10x = 0.20(x + 600) Reorder the terms: 360 + 0.10x = 0.20(600 + x) 360 + 0.10x = (600 * 0.20 + x * 0.20) 360 + 0.10x = (120 + 0.20x) Solving 360 + 0.10x = 120 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 360 + 0.10x + -0.20x = 120 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 360 + -0.1x = 120 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 360 + -0.1x = 120 + 0.00 360 + -0.1x = 120 Add '-360' to each side of the equation. 360 + -360 + -0.1x = 120 + -360 Combine like terms: 360 + -360 = 0 0 + -0.1x = 120 + -360 -0.1x = 120 + -360 Combine like terms: 120 + -360 = -240 -0.1x = -240 Divide each side by '-0.1'. x = 2400 Simplifying x = 2400
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