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Simplifying x + y = 2x + -1y + 6 Reorder the terms: x + y = 6 + 2x + -1y Solving x + y = 6 + 2x + -1y 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. x + -2x + y = 6 + 2x + -2x + -1y Combine like terms: x + -2x = -1x -1x + y = 6 + 2x + -2x + -1y Combine like terms: 2x + -2x = 0 -1x + y = 6 + 0 + -1y -1x + y = 6 + -1y Add '-1y' to each side of the equation. -1x + y + -1y = 6 + -1y + -1y Combine like terms: y + -1y = 0 -1x + 0 = 6 + -1y + -1y -1x = 6 + -1y + -1y Combine like terms: -1y + -1y = -2y -1x = 6 + -2y Divide each side by '-1'. x = -6 + 2y Simplifying x = -6 + 2y
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