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