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Simplifying -3(4y + -2x) + 2(5x + y) = 0 Reorder the terms: -3(-2x + 4y) + 2(5x + y) = 0 (-2x * -3 + 4y * -3) + 2(5x + y) = 0 (6x + -12y) + 2(5x + y) = 0 6x + -12y + (5x * 2 + y * 2) = 0 6x + -12y + (10x + 2y) = 0 Reorder the terms: 6x + 10x + -12y + 2y = 0 Combine like terms: 6x + 10x = 16x 16x + -12y + 2y = 0 Combine like terms: -12y + 2y = -10y 16x + -10y = 0 Solving 16x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 16x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 16x + 0 = 0 + 10y 16x = 0 + 10y Remove the zero: 16x = 10y Divide each side by '16'. x = 0.625y Simplifying x = 0.625y
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