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Simplifying 10x + y = 5x + 400 Reorder the terms: 10x + y = 400 + 5x Solving 10x + y = 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. 10x + -5x + y = 400 + 5x + -5x Combine like terms: 10x + -5x = 5x 5x + y = 400 + 5x + -5x Combine like terms: 5x + -5x = 0 5x + y = 400 + 0 5x + y = 400 Add '-1y' to each side of the equation. 5x + y + -1y = 400 + -1y Combine like terms: y + -1y = 0 5x + 0 = 400 + -1y 5x = 400 + -1y Divide each side by '5'. x = 80 + -0.2y Simplifying x = 80 + -0.2y
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