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Simplifying 0.20x + 0.68(120 + -1x) = 0.54(120) 0.20x + (120 * 0.68 + -1x * 0.68) = 0.54(120) 0.20x + (81.6 + -0.68x) = 0.54(120) Reorder the terms: 81.6 + 0.20x + -0.68x = 0.54(120) Combine like terms: 0.20x + -0.68x = -0.48x 81.6 + -0.48x = 0.54(120) Multiply 0.54 * 120 81.6 + -0.48x = 64.8 Solving 81.6 + -0.48x = 64.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81.6' to each side of the equation. 81.6 + -81.6 + -0.48x = 64.8 + -81.6 Combine like terms: 81.6 + -81.6 = 0.0 0.0 + -0.48x = 64.8 + -81.6 -0.48x = 64.8 + -81.6 Combine like terms: 64.8 + -81.6 = -16.8 -0.48x = -16.8 Divide each side by '-0.48'. x = 35 Simplifying x = 35
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