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Simplifying 0.12x + 0.06(10 + -1x) = 0.08(10) 0.12x + (10 * 0.06 + -1x * 0.06) = 0.08(10) 0.12x + (0.6 + -0.06x) = 0.08(10) Reorder the terms: 0.6 + 0.12x + -0.06x = 0.08(10) Combine like terms: 0.12x + -0.06x = 0.06x 0.6 + 0.06x = 0.08(10) Multiply 0.08 * 10 0.6 + 0.06x = 0.8 Solving 0.6 + 0.06x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.06x = 0.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.06x = 0.8 + -0.6 0.06x = 0.8 + -0.6 Combine like terms: 0.8 + -0.6 = 0.2 0.06x = 0.2 Divide each side by '0.06'. x = 3.333333333 Simplifying x = 3.333333333
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