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Simplifying 6x + -6y + 4x + -3y + -5x + 7x = 0 Reorder the terms: 6x + 4x + -5x + 7x + -6y + -3y = 0 Combine like terms: 6x + 4x = 10x 10x + -5x + 7x + -6y + -3y = 0 Combine like terms: 10x + -5x = 5x 5x + 7x + -6y + -3y = 0 Combine like terms: 5x + 7x = 12x 12x + -6y + -3y = 0 Combine like terms: -6y + -3y = -9y 12x + -9y = 0 Solving 12x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 12x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 12x + 0 = 0 + 9y 12x = 0 + 9y Remove the zero: 12x = 9y Divide each side by '12'. x = 0.75y Simplifying x = 0.75y
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