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Simplifying 100x + -200 = 500x + -100 Reorder the terms: -200 + 100x = 500x + -100 Reorder the terms: -200 + 100x = -100 + 500x Solving -200 + 100x = -100 + 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 = -100 + 500x + -500x Combine like terms: 100x + -500x = -400x -200 + -400x = -100 + 500x + -500x Combine like terms: 500x + -500x = 0 -200 + -400x = -100 + 0 -200 + -400x = -100 Add '200' to each side of the equation. -200 + 200 + -400x = -100 + 200 Combine like terms: -200 + 200 = 0 0 + -400x = -100 + 200 -400x = -100 + 200 Combine like terms: -100 + 200 = 100 -400x = 100 Divide each side by '-400'. x = -0.25 Simplifying x = -0.25
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