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Simplifying 100x + 200 = 500x + -500 Reorder the terms: 200 + 100x = 500x + -500 Reorder the terms: 200 + 100x = -500 + 500x Solving 200 + 100x = -500 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. 200 + 100x + -500x = -500 + 500x + -500x Combine like terms: 100x + -500x = -400x 200 + -400x = -500 + 500x + -500x Combine like terms: 500x + -500x = 0 200 + -400x = -500 + 0 200 + -400x = -500 Add '-200' to each side of the equation. 200 + -200 + -400x = -500 + -200 Combine like terms: 200 + -200 = 0 0 + -400x = -500 + -200 -400x = -500 + -200 Combine like terms: -500 + -200 = -700 -400x = -700 Divide each side by '-400'. x = 1.75 Simplifying x = 1.75
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