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Simplifying 0.12 = (x)(0.19) + (1 + -1x)(0.08) Reorder the terms for easier multiplication: 0.12 = 0.19x + (1 + -1x)(0.08) Reorder the terms for easier multiplication: 0.12 = 0.19x + 0.08(1 + -1x) 0.12 = 0.19x + (1 * 0.08 + -1x * 0.08) 0.12 = 0.19x + (0.08 + -0.08x) Reorder the terms: 0.12 = 0.08 + 0.19x + -0.08x Combine like terms: 0.19x + -0.08x = 0.11x 0.12 = 0.08 + 0.11x Solving 0.12 = 0.08 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 0.12 + -0.11x = 0.08 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 0.12 + -0.11x = 0.08 + 0.00 0.12 + -0.11x = 0.08 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -0.11x = 0.08 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.11x = 0.08 + -0.12 -0.11x = 0.08 + -0.12 Combine like terms: 0.08 + -0.12 = -0.04 -0.11x = -0.04 Divide each side by '-0.11'. x = 0.3636363636 Simplifying x = 0.3636363636
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