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Simplifying 100x + -200 = 50x + -100 Reorder the terms: -200 + 100x = 50x + -100 Reorder the terms: -200 + 100x = -100 + 50x Solving -200 + 100x = -100 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -200 + 100x + -50x = -100 + 50x + -50x Combine like terms: 100x + -50x = 50x -200 + 50x = -100 + 50x + -50x Combine like terms: 50x + -50x = 0 -200 + 50x = -100 + 0 -200 + 50x = -100 Add '200' to each side of the equation. -200 + 200 + 50x = -100 + 200 Combine like terms: -200 + 200 = 0 0 + 50x = -100 + 200 50x = -100 + 200 Combine like terms: -100 + 200 = 100 50x = 100 Divide each side by '50'. x = 2 Simplifying x = 2
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