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Simplifying 3(3y + -2x) + 2(5x + -4y) = 0 Reorder the terms: 3(-2x + 3y) + 2(5x + -4y) = 0 (-2x * 3 + 3y * 3) + 2(5x + -4y) = 0 (-6x + 9y) + 2(5x + -4y) = 0 -6x + 9y + (5x * 2 + -4y * 2) = 0 -6x + 9y + (10x + -8y) = 0 Reorder the terms: -6x + 10x + 9y + -8y = 0 Combine like terms: -6x + 10x = 4x 4x + 9y + -8y = 0 Combine like terms: 9y + -8y = 1y 4x + 1y = 0 Solving 4x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 4x + 0 = 0 + -1y 4x = 0 + -1y Remove the zero: 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25y
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