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Simplifying 3000(x + 100) = 2000(x + -100) Reorder the terms: 3000(100 + x) = 2000(x + -100) (100 * 3000 + x * 3000) = 2000(x + -100) (300000 + 3000x) = 2000(x + -100) Reorder the terms: 300000 + 3000x = 2000(-100 + x) 300000 + 3000x = (-100 * 2000 + x * 2000) 300000 + 3000x = (-200000 + 2000x) Solving 300000 + 3000x = -200000 + 2000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2000x' to each side of the equation. 300000 + 3000x + -2000x = -200000 + 2000x + -2000x Combine like terms: 3000x + -2000x = 1000x 300000 + 1000x = -200000 + 2000x + -2000x Combine like terms: 2000x + -2000x = 0 300000 + 1000x = -200000 + 0 300000 + 1000x = -200000 Add '-300000' to each side of the equation. 300000 + -300000 + 1000x = -200000 + -300000 Combine like terms: 300000 + -300000 = 0 0 + 1000x = -200000 + -300000 1000x = -200000 + -300000 Combine like terms: -200000 + -300000 = -500000 1000x = -500000 Divide each side by '1000'. x = -500 Simplifying x = -500
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