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Simplifying 0.3x + 0.18(5000 + -1x) = 0.2(5000) 0.3x + (5000 * 0.18 + -1x * 0.18) = 0.2(5000) 0.3x + (900 + -0.18x) = 0.2(5000) Reorder the terms: 900 + 0.3x + -0.18x = 0.2(5000) Combine like terms: 0.3x + -0.18x = 0.12x 900 + 0.12x = 0.2(5000) Multiply 0.2 * 5000 900 + 0.12x = 1000 Solving 900 + 0.12x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-900' to each side of the equation. 900 + -900 + 0.12x = 1000 + -900 Combine like terms: 900 + -900 = 0 0 + 0.12x = 1000 + -900 0.12x = 1000 + -900 Combine like terms: 1000 + -900 = 100 0.12x = 100 Divide each side by '0.12'. x = 833.3333333 Simplifying x = 833.3333333
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