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Simplifying 2x + 1 + -1y = -2y + 4x + 2 Reorder the terms: 1 + 2x + -1y = -2y + 4x + 2 Reorder the terms: 1 + 2x + -1y = 2 + 4x + -2y Solving 1 + 2x + -1y = 2 + 4x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x + -1y = 2 + 4x + -4x + -2y Combine like terms: 2x + -4x = -2x 1 + -2x + -1y = 2 + 4x + -4x + -2y Combine like terms: 4x + -4x = 0 1 + -2x + -1y = 2 + 0 + -2y 1 + -2x + -1y = 2 + -2y Add '-1' to each side of the equation. 1 + -2x + -1 + -1y = 2 + -1 + -2y Reorder the terms: 1 + -1 + -2x + -1y = 2 + -1 + -2y Combine like terms: 1 + -1 = 0 0 + -2x + -1y = 2 + -1 + -2y -2x + -1y = 2 + -1 + -2y Combine like terms: 2 + -1 = 1 -2x + -1y = 1 + -2y Add 'y' to each side of the equation. -2x + -1y + y = 1 + -2y + y Combine like terms: -1y + y = 0 -2x + 0 = 1 + -2y + y -2x = 1 + -2y + y Combine like terms: -2y + y = -1y -2x = 1 + -1y Divide each side by '-2'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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