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Simplifying 200 + 0.5x = 400 + 0.10x Solving 200 + 0.5x = 400 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 200 + 0.5x + -0.10x = 400 + 0.10x + -0.10x Combine like terms: 0.5x + -0.10x = 0.4x 200 + 0.4x = 400 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 200 + 0.4x = 400 + 0.00 200 + 0.4x = 400 Add '-200' to each side of the equation. 200 + -200 + 0.4x = 400 + -200 Combine like terms: 200 + -200 = 0 0 + 0.4x = 400 + -200 0.4x = 400 + -200 Combine like terms: 400 + -200 = 200 0.4x = 200 Divide each side by '0.4'. x = 500 Simplifying x = 500
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