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Simplifying 2x + 2y + x + 3x + y + -4x = 0 Reorder the terms: 2x + x + 3x + -4x + 2y + y = 0 Combine like terms: 2x + x = 3x 3x + 3x + -4x + 2y + y = 0 Combine like terms: 3x + 3x = 6x 6x + -4x + 2y + y = 0 Combine like terms: 6x + -4x = 2x 2x + 2y + y = 0 Combine like terms: 2y + y = 3y 2x + 3y = 0 Solving 2x + 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. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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