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Simplifying (x + 3y) + (-3x + -1y) + -1(x + -1y) = 0 Remove parenthesis around (x + 3y) x + 3y + (-3x + -1y) + -1(x + -1y) = 0 Remove parenthesis around (-3x + -1y) x + 3y + -3x + -1y + -1(x + -1y) = 0 x + 3y + -3x + -1y + (x * -1 + -1y * -1) = 0 x + 3y + -3x + -1y + (-1x + 1y) = 0 Reorder the terms: x + -3x + -1x + 3y + -1y + 1y = 0 Combine like terms: x + -3x = -2x -2x + -1x + 3y + -1y + 1y = 0 Combine like terms: -2x + -1x = -3x -3x + 3y + -1y + 1y = 0 Combine like terms: 3y + -1y = 2y -3x + 2y + 1y = 0 Combine like terms: 2y + 1y = 3y -3x + 3y = 0 Solving -3x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -3x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 0 + -3y -3x = 0 + -3y Remove the zero: -3x = -3y Divide each side by '-3'. x = y Simplifying x = y
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