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Simplifying 0.1060 = (x * 0.138) + (1 + -1x)(0.086)(1 + -0.34) Reorder the terms for easier multiplication: 0.1060 = (0.138x) + (1 + -1x)(0.086)(1 + -0.34) Combine like terms: 1 + -0.34 = 0.66 0.1060 = (0.138x) + (1 + -1x) * 0.086(0.66) Reorder the terms for easier multiplication: 0.1060 = (0.138x) + 0.086 * 0.66(1 + -1x) Multiply 0.086 * 0.66 0.1060 = (0.138x) + 0.05676(1 + -1x) 0.1060 = (0.138x) + (1 * 0.05676 + -1x * 0.05676) 0.1060 = (0.138x) + (0.05676 + -0.05676x) Reorder the terms: 0.1060 = 0.05676 + (0.138x) + -0.05676x Combine like terms: (0.138x) + -0.05676x = 0.08124x 0.1060 = 0.05676 + 0.08124x Solving 0.1060 = 0.05676 + 0.08124x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08124x' to each side of the equation. 0.1060 + -0.08124x = 0.05676 + 0.08124x + -0.08124x Combine like terms: 0.08124x + -0.08124x = 0.00000 0.1060 + -0.08124x = 0.05676 + 0.00000 0.1060 + -0.08124x = 0.05676 Add '-0.1060' to each side of the equation. 0.1060 + -0.1060 + -0.08124x = 0.05676 + -0.1060 Combine like terms: 0.1060 + -0.1060 = 0.0000 0.0000 + -0.08124x = 0.05676 + -0.1060 -0.08124x = 0.05676 + -0.1060 Combine like terms: 0.05676 + -0.1060 = -0.04924 -0.08124x = -0.04924 Divide each side by '-0.08124'. x = 0.6061053668 Simplifying x = 0.6061053668
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