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Simplifying 0.12x + 0.06(20 + -1x) = 36 0.12x + (20 * 0.06 + -1x * 0.06) = 36 0.12x + (1.2 + -0.06x) = 36 Reorder the terms: 1.2 + 0.12x + -0.06x = 36 Combine like terms: 0.12x + -0.06x = 0.06x 1.2 + 0.06x = 36 Solving 1.2 + 0.06x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.06x = 36 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.06x = 36 + -1.2 0.06x = 36 + -1.2 Combine like terms: 36 + -1.2 = 34.8 0.06x = 34.8 Divide each side by '0.06'. x = 580 Simplifying x = 580
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