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Simplifying 13000(x + 0.5) + -10000x = 305 Reorder the terms: 13000(0.5 + x) + -10000x = 305 (0.5 * 13000 + x * 13000) + -10000x = 305 (6500 + 13000x) + -10000x = 305 Combine like terms: 13000x + -10000x = 3000x 6500 + 3000x = 305 Solving 6500 + 3000x = 305 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6500' to each side of the equation. 6500 + -6500 + 3000x = 305 + -6500 Combine like terms: 6500 + -6500 = 0 0 + 3000x = 305 + -6500 3000x = 305 + -6500 Combine like terms: 305 + -6500 = -6195 3000x = -6195 Divide each side by '3000'. x = -2.065 Simplifying x = -2.065
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