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Simplifying 2x + 2y + -3x + 3y + 4x + y = 0 Reorder the terms: 2x + -3x + 4x + 2y + 3y + y = 0 Combine like terms: 2x + -3x = -1x -1x + 4x + 2y + 3y + y = 0 Combine like terms: -1x + 4x = 3x 3x + 2y + 3y + y = 0 Combine like terms: 2y + 3y = 5y 3x + 5y + y = 0 Combine like terms: 5y + y = 6y 3x + 6y = 0 Solving 3x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 3x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 0 + -6y 3x = 0 + -6y Remove the zero: 3x = -6y Divide each side by '3'. x = -2y Simplifying x = -2y
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