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Simplifying -0.346(5000) + 0.5x = 0.03(5000 + x) Multiply -0.346 * 5000 -1730 + 0.5x = 0.03(5000 + x) -1730 + 0.5x = (5000 * 0.03 + x * 0.03) -1730 + 0.5x = (150 + 0.03x) Solving -1730 + 0.5x = 150 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1730 + 0.5x + -0.03x = 150 + 0.03x + -0.03x Combine like terms: 0.5x + -0.03x = 0.47x -1730 + 0.47x = 150 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1730 + 0.47x = 150 + 0.00 -1730 + 0.47x = 150 Add '1730' to each side of the equation. -1730 + 1730 + 0.47x = 150 + 1730 Combine like terms: -1730 + 1730 = 0 0 + 0.47x = 150 + 1730 0.47x = 150 + 1730 Combine like terms: 150 + 1730 = 1880 0.47x = 1880 Divide each side by '0.47'. x = 4000 Simplifying x = 4000
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