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Simplifying x + 2y = 3x + -3y + 1 Reorder the terms: x + 2y = 1 + 3x + -3y Solving x + 2y = 1 + 3x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. x + -3x + 2y = 1 + 3x + -3x + -3y Combine like terms: x + -3x = -2x -2x + 2y = 1 + 3x + -3x + -3y Combine like terms: 3x + -3x = 0 -2x + 2y = 1 + 0 + -3y -2x + 2y = 1 + -3y Add '-2y' to each side of the equation. -2x + 2y + -2y = 1 + -3y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 1 + -3y + -2y -2x = 1 + -3y + -2y Combine like terms: -3y + -2y = -5y -2x = 1 + -5y Divide each side by '-2'. x = -0.5 + 2.5y Simplifying x = -0.5 + 2.5y
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