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Simplifying 0.05(120000 + -1x) = 0.2x + 10500 (120000 * 0.05 + -1x * 0.05) = 0.2x + 10500 (6000 + -0.05x) = 0.2x + 10500 Reorder the terms: 6000 + -0.05x = 10500 + 0.2x Solving 6000 + -0.05x = 10500 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 6000 + -0.05x + -0.2x = 10500 + 0.2x + -0.2x Combine like terms: -0.05x + -0.2x = -0.25x 6000 + -0.25x = 10500 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 6000 + -0.25x = 10500 + 0.0 6000 + -0.25x = 10500 Add '-6000' to each side of the equation. 6000 + -6000 + -0.25x = 10500 + -6000 Combine like terms: 6000 + -6000 = 0 0 + -0.25x = 10500 + -6000 -0.25x = 10500 + -6000 Combine like terms: 10500 + -6000 = 4500 -0.25x = 4500 Divide each side by '-0.25'. x = -18000 Simplifying x = -18000
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