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Simplifying (x + y) + 3(x + y) + -2(x + y) = 0 Remove parenthesis around (x + y) x + y + 3(x + y) + -2(x + y) = 0 x + y + (x * 3 + y * 3) + -2(x + y) = 0 x + y + (3x + 3y) + -2(x + y) = 0 x + y + 3x + 3y + (x * -2 + y * -2) = 0 x + y + 3x + 3y + (-2x + -2y) = 0 Reorder the terms: x + 3x + -2x + y + 3y + -2y = 0 Combine like terms: x + 3x = 4x 4x + -2x + y + 3y + -2y = 0 Combine like terms: 4x + -2x = 2x 2x + y + 3y + -2y = 0 Combine like terms: y + 3y = 4y 2x + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 2x + 2y = 0 Solving 2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 2x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 0 + -2y 2x = 0 + -2y Remove the zero: 2x = -2y Divide each side by '2'. x = -1y Simplifying x = -1y
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