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Simplifying (x + y) + -3(x + -1y) = 4x + -2y Remove parenthesis around (x + y) x + y + -3(x + -1y) = 4x + -2y x + y + (x * -3 + -1y * -3) = 4x + -2y x + y + (-3x + 3y) = 4x + -2y Reorder the terms: x + -3x + y + 3y = 4x + -2y Combine like terms: x + -3x = -2x -2x + y + 3y = 4x + -2y Combine like terms: y + 3y = 4y -2x + 4y = 4x + -2y Solving -2x + 4y = 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. -2x + -4x + 4y = 4x + -4x + -2y Combine like terms: -2x + -4x = -6x -6x + 4y = 4x + -4x + -2y Combine like terms: 4x + -4x = 0 -6x + 4y = 0 + -2y -6x + 4y = -2y Add '-4y' to each side of the equation. -6x + 4y + -4y = -2y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -2y + -4y -6x = -2y + -4y Combine like terms: -2y + -4y = -6y -6x = -6y Divide each side by '-6'. x = y Simplifying x = y
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