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Simplifying 0.20x + 0.10(120 + -1x) = 0.13(120) 0.20x + (120 * 0.10 + -1x * 0.10) = 0.13(120) 0.20x + (12 + -0.1x) = 0.13(120) Reorder the terms: 12 + 0.20x + -0.1x = 0.13(120) Combine like terms: 0.20x + -0.1x = 0.1x 12 + 0.1x = 0.13(120) Multiply 0.13 * 120 12 + 0.1x = 15.6 Solving 12 + 0.1x = 15.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.1x = 15.6 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 15.6 + -12 0.1x = 15.6 + -12 Combine like terms: 15.6 + -12 = 3.6 0.1x = 3.6 Divide each side by '0.1'. x = 36 Simplifying x = 36
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