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Simplifying 0.10x + 0.15(90000 + -1x) = 10000 0.10x + (90000 * 0.15 + -1x * 0.15) = 10000 0.10x + (13500 + -0.15x) = 10000 Reorder the terms: 13500 + 0.10x + -0.15x = 10000 Combine like terms: 0.10x + -0.15x = -0.05x 13500 + -0.05x = 10000 Solving 13500 + -0.05x = 10000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13500' to each side of the equation. 13500 + -13500 + -0.05x = 10000 + -13500 Combine like terms: 13500 + -13500 = 0 0 + -0.05x = 10000 + -13500 -0.05x = 10000 + -13500 Combine like terms: 10000 + -13500 = -3500 -0.05x = -3500 Divide each side by '-0.05'. x = 70000 Simplifying x = 70000
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