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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 'y' to each side of the equation. -4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 -4x + 0 = 0 + y -4x = 0 + y Remove the zero: -4x = y Divide each side by '-4'. x = -0.25y Simplifying x = -0.25y
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