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Simplifying 2x + -2 + 2y = 2 + x + y Reorder the terms: -2 + 2x + 2y = 2 + x + y Solving -2 + 2x + 2y = 2 + x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 2x + -1x + 2y = 2 + x + -1x + y Combine like terms: 2x + -1x = 1x -2 + 1x + 2y = 2 + x + -1x + y Combine like terms: x + -1x = 0 -2 + 1x + 2y = 2 + 0 + y -2 + 1x + 2y = 2 + y Add '2' to each side of the equation. -2 + 1x + 2 + 2y = 2 + 2 + y Reorder the terms: -2 + 2 + 1x + 2y = 2 + 2 + y Combine like terms: -2 + 2 = 0 0 + 1x + 2y = 2 + 2 + y 1x + 2y = 2 + 2 + y Combine like terms: 2 + 2 = 4 1x + 2y = 4 + y Add '-2y' to each side of the equation. 1x + 2y + -2y = 4 + y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 4 + y + -2y 1x = 4 + y + -2y Combine like terms: y + -2y = -1y 1x = 4 + -1y Divide each side by '1'. x = 4 + -1y Simplifying x = 4 + -1y
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