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Simplifying 0.18(x) + 0.08(250 + -1x) = 0.14(250) 0.18x + (250 * 0.08 + -1x * 0.08) = 0.14(250) 0.18x + (20 + -0.08x) = 0.14(250) Reorder the terms: 20 + 0.18x + -0.08x = 0.14(250) Combine like terms: 0.18x + -0.08x = 0.1x 20 + 0.1x = 0.14(250) Multiply 0.14 * 250 20 + 0.1x = 35 Solving 20 + 0.1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.1x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 0.1x = 35 + -20 0.1x = 35 + -20 Combine like terms: 35 + -20 = 15 0.1x = 15 Divide each side by '0.1'. x = 150 Simplifying x = 150
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