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Simplifying 0.12x + 0.06(0.08 + x) = 10(0.08) 0.12x + (0.08 * 0.06 + x * 0.06) = 10(0.08) 0.12x + (0.0048 + 0.06x) = 10(0.08) Reorder the terms: 0.0048 + 0.12x + 0.06x = 10(0.08) Combine like terms: 0.12x + 0.06x = 0.18x 0.0048 + 0.18x = 10(0.08) Multiply 10 * 0.08 0.0048 + 0.18x = 0.8 Solving 0.0048 + 0.18x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0048' to each side of the equation. 0.0048 + -0.0048 + 0.18x = 0.8 + -0.0048 Combine like terms: 0.0048 + -0.0048 = 0.0000 0.0000 + 0.18x = 0.8 + -0.0048 0.18x = 0.8 + -0.0048 Combine like terms: 0.8 + -0.0048 = 0.7952 0.18x = 0.7952 Divide each side by '0.18'. x = 4.417777778 Simplifying x = 4.417777778
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