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Simplifying 100x + 200 = 50x + -50 Reorder the terms: 200 + 100x = 50x + -50 Reorder the terms: 200 + 100x = -50 + 50x Solving 200 + 100x = -50 + 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 = -50 + 50x + -50x Combine like terms: 100x + -50x = 50x 200 + 50x = -50 + 50x + -50x Combine like terms: 50x + -50x = 0 200 + 50x = -50 + 0 200 + 50x = -50 Add '-200' to each side of the equation. 200 + -200 + 50x = -50 + -200 Combine like terms: 200 + -200 = 0 0 + 50x = -50 + -200 50x = -50 + -200 Combine like terms: -50 + -200 = -250 50x = -250 Divide each side by '50'. x = -5 Simplifying x = -5
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