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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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