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Simplifying (x)(0.12) + (1 + -1x)(0.05) = 0.06 Reorder the terms for easier multiplication: 0.12x + (1 + -1x)(0.05) = 0.06 Reorder the terms for easier multiplication: 0.12x + 0.05(1 + -1x) = 0.06 0.12x + (1 * 0.05 + -1x * 0.05) = 0.06 0.12x + (0.05 + -0.05x) = 0.06 Reorder the terms: 0.05 + 0.12x + -0.05x = 0.06 Combine like terms: 0.12x + -0.05x = 0.07x 0.05 + 0.07x = 0.06 Solving 0.05 + 0.07x = 0.06 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.07x = 0.06 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.07x = 0.06 + -0.05 0.07x = 0.06 + -0.05 Combine like terms: 0.06 + -0.05 = 0.01 0.07x = 0.01 Divide each side by '0.07'. x = 0.1428571429 Simplifying x = 0.1428571429
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