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Simplifying x + y = 2x + -3y + 1 Reorder the terms: x + y = 1 + 2x + -3y Solving x + y = 1 + 2x + -3y 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 = 1 + 2x + -2x + -3y Combine like terms: x + -2x = -1x -1x + y = 1 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 -1x + y = 1 + 0 + -3y -1x + y = 1 + -3y Add '-1y' to each side of the equation. -1x + y + -1y = 1 + -3y + -1y Combine like terms: y + -1y = 0 -1x + 0 = 1 + -3y + -1y -1x = 1 + -3y + -1y Combine like terms: -3y + -1y = -4y -1x = 1 + -4y Divide each side by '-1'. x = -1 + 4y Simplifying x = -1 + 4y
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