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Simplifying 0.09x + 0.15(x + 5000) = 1230 Reorder the terms: 0.09x + 0.15(5000 + x) = 1230 0.09x + (5000 * 0.15 + x * 0.15) = 1230 0.09x + (750 + 0.15x) = 1230 Reorder the terms: 750 + 0.09x + 0.15x = 1230 Combine like terms: 0.09x + 0.15x = 0.24x 750 + 0.24x = 1230 Solving 750 + 0.24x = 1230 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-750' to each side of the equation. 750 + -750 + 0.24x = 1230 + -750 Combine like terms: 750 + -750 = 0 0 + 0.24x = 1230 + -750 0.24x = 1230 + -750 Combine like terms: 1230 + -750 = 480 0.24x = 480 Divide each side by '0.24'. x = 2000 Simplifying x = 2000
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