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Simplifying -6x + 2(4x + -3y) + 3y = 0 -6x + (4x * 2 + -3y * 2) + 3y = 0 -6x + (8x + -6y) + 3y = 0 Combine like terms: -6x + 8x = 2x 2x + -6y + 3y = 0 Combine like terms: -6y + 3y = -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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