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Simplifying 100x + y + -350 = 200y + 2x Reorder the terms: -350 + 100x + y = 200y + 2x Reorder the terms: -350 + 100x + y = 2x + 200y Solving -350 + 100x + y = 2x + 200y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -350 + 100x + -2x + y = 2x + -2x + 200y Combine like terms: 100x + -2x = 98x -350 + 98x + y = 2x + -2x + 200y Combine like terms: 2x + -2x = 0 -350 + 98x + y = 0 + 200y -350 + 98x + y = 200y Add '350' to each side of the equation. -350 + 98x + 350 + y = 350 + 200y Reorder the terms: -350 + 350 + 98x + y = 350 + 200y Combine like terms: -350 + 350 = 0 0 + 98x + y = 350 + 200y 98x + y = 350 + 200y Add '-1y' to each side of the equation. 98x + y + -1y = 350 + 200y + -1y Combine like terms: y + -1y = 0 98x + 0 = 350 + 200y + -1y 98x = 350 + 200y + -1y Combine like terms: 200y + -1y = 199y 98x = 350 + 199y Divide each side by '98'. x = 3.571428571 + 2.030612245y Simplifying x = 3.571428571 + 2.030612245y
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