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Simplifying 2x + y + -5 = 2y + x + 3 Reorder the terms: -5 + 2x + y = 2y + x + 3 Reorder the terms: -5 + 2x + y = 3 + x + 2y Solving -5 + 2x + y = 3 + x + 2y 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. -5 + 2x + -1x + y = 3 + x + -1x + 2y Combine like terms: 2x + -1x = 1x -5 + 1x + y = 3 + x + -1x + 2y Combine like terms: x + -1x = 0 -5 + 1x + y = 3 + 0 + 2y -5 + 1x + y = 3 + 2y Add '5' to each side of the equation. -5 + 1x + 5 + y = 3 + 5 + 2y Reorder the terms: -5 + 5 + 1x + y = 3 + 5 + 2y Combine like terms: -5 + 5 = 0 0 + 1x + y = 3 + 5 + 2y 1x + y = 3 + 5 + 2y Combine like terms: 3 + 5 = 8 1x + y = 8 + 2y Add '-1y' to each side of the equation. 1x + y + -1y = 8 + 2y + -1y Combine like terms: y + -1y = 0 1x + 0 = 8 + 2y + -1y 1x = 8 + 2y + -1y Combine like terms: 2y + -1y = 1y 1x = 8 + 1y Divide each side by '1'. x = 8 + 1y Simplifying x = 8 + 1y
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