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Simplifying 500 = 200(10x2 + 182.25) Reorder the terms: 500 = 200(182.25 + 10x2) 500 = (182.25 * 200 + 10x2 * 200) 500 = (36450 + 2000x2) Solving 500 = 36450 + 2000x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2000x2' to each side of the equation. 500 + -2000x2 = 36450 + 2000x2 + -2000x2 Combine like terms: 2000x2 + -2000x2 = 0 500 + -2000x2 = 36450 + 0 500 + -2000x2 = 36450 Add '-500' to each side of the equation. 500 + -500 + -2000x2 = 36450 + -500 Combine like terms: 500 + -500 = 0 0 + -2000x2 = 36450 + -500 -2000x2 = 36450 + -500 Combine like terms: 36450 + -500 = 35950 -2000x2 = 35950 Divide each side by '-2000'. x2 = -17.975 Simplifying x2 = -17.975 Reorder the terms: 17.975 + x2 = -17.975 + 17.975 Combine like terms: -17.975 + 17.975 = 0.000 17.975 + x2 = 0.000 The solution to this equation could not be determined.
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