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Simplifying 0.18(x) + 0.08(500 + -1x) = 0.14(500) 0.18x + (500 * 0.08 + -1x * 0.08) = 0.14(500) 0.18x + (40 + -0.08x) = 0.14(500) Reorder the terms: 40 + 0.18x + -0.08x = 0.14(500) Combine like terms: 0.18x + -0.08x = 0.1x 40 + 0.1x = 0.14(500) Multiply 0.14 * 500 40 + 0.1x = 70 Solving 40 + 0.1x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.1x = 70 + -40 Combine like terms: 40 + -40 = 0 0 + 0.1x = 70 + -40 0.1x = 70 + -40 Combine like terms: 70 + -40 = 30 0.1x = 30 Divide each side by '0.1'. x = 300 Simplifying x = 300
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