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Simplifying 10x + 200 = 5x + 400 Reorder the terms: 200 + 10x = 5x + 400 Reorder the terms: 200 + 10x = 400 + 5x Solving 200 + 10x = 400 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 200 + 10x + -5x = 400 + 5x + -5x Combine like terms: 10x + -5x = 5x 200 + 5x = 400 + 5x + -5x Combine like terms: 5x + -5x = 0 200 + 5x = 400 + 0 200 + 5x = 400 Add '-200' to each side of the equation. 200 + -200 + 5x = 400 + -200 Combine like terms: 200 + -200 = 0 0 + 5x = 400 + -200 5x = 400 + -200 Combine like terms: 400 + -200 = 200 5x = 200 Divide each side by '5'. x = 40 Simplifying x = 40
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