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Simplifying 400x + -600 = 200x + 800 Reorder the terms: -600 + 400x = 200x + 800 Reorder the terms: -600 + 400x = 800 + 200x Solving -600 + 400x = 800 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. -600 + 400x + -200x = 800 + 200x + -200x Combine like terms: 400x + -200x = 200x -600 + 200x = 800 + 200x + -200x Combine like terms: 200x + -200x = 0 -600 + 200x = 800 + 0 -600 + 200x = 800 Add '600' to each side of the equation. -600 + 600 + 200x = 800 + 600 Combine like terms: -600 + 600 = 0 0 + 200x = 800 + 600 200x = 800 + 600 Combine like terms: 800 + 600 = 1400 200x = 1400 Divide each side by '200'. x = 7 Simplifying x = 7
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