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Simplifying 0.8x + 0.2x = (x + 400) * 0.5 Combine like terms: 0.8x + 0.2x = 1x 1x = (x + 400) * 0.5 Reorder the terms: 1x = (400 + x) * 0.5 Reorder the terms for easier multiplication: 1x = 0.5(400 + x) 1x = (400 * 0.5 + x * 0.5) 1x = (200 + 0.5x) Solving 1x = 200 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1x + -0.5x = 200 + 0.5x + -0.5x Combine like terms: 1x + -0.5x = 0.5x 0.5x = 200 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5x = 200 + 0.0 0.5x = 200 Divide each side by '0.5'. x = 400 Simplifying x = 400
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