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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 = -16x -16x + 9y + 8y = 0 Combine like terms: 9y + 8y = 17y -16x + 17y = 0 Solving -16x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. -16x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 -16x + 0 = 0 + -17y -16x = 0 + -17y Remove the zero: -16x = -17y Divide each side by '-16'. x = 1.0625y Simplifying x = 1.0625y
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