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Simplifying 0.2(120000 + -1x) = 0.05x + 10500 (120000 * 0.2 + -1x * 0.2) = 0.05x + 10500 (24000 + -0.2x) = 0.05x + 10500 Reorder the terms: 24000 + -0.2x = 10500 + 0.05x Solving 24000 + -0.2x = 10500 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 24000 + -0.2x + -0.05x = 10500 + 0.05x + -0.05x Combine like terms: -0.2x + -0.05x = -0.25x 24000 + -0.25x = 10500 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 24000 + -0.25x = 10500 + 0.00 24000 + -0.25x = 10500 Add '-24000' to each side of the equation. 24000 + -24000 + -0.25x = 10500 + -24000 Combine like terms: 24000 + -24000 = 0 0 + -0.25x = 10500 + -24000 -0.25x = 10500 + -24000 Combine like terms: 10500 + -24000 = -13500 -0.25x = -13500 Divide each side by '-0.25'. x = 54000 Simplifying x = 54000
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