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Simplifying (3x + -4x + -2y) + (2y + 3y + 2x) = 0 Combine like terms: 3x + -4x = -1x (-1x + -2y) + (2y + 3y + 2x) = 0 Remove parenthesis around (-1x + -2y) -1x + -2y + (2y + 3y + 2x) = 0 Reorder the terms: -1x + -2y + (2x + 2y + 3y) = 0 Combine like terms: 2y + 3y = 5y -1x + -2y + (2x + 5y) = 0 Remove parenthesis around (2x + 5y) -1x + -2y + 2x + 5y = 0 Reorder the terms: -1x + 2x + -2y + 5y = 0 Combine like terms: -1x + 2x = 1x 1x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y 1x + 3y = 0 Solving 1x + 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. 1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 0 + -3y 1x = 0 + -3y Remove the zero: 1x = -3y Divide each side by '1'. x = -3y Simplifying x = -3y
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