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Simplifying 0 = 3(2x + y) + 2(5x + 3y) 0 = (2x * 3 + y * 3) + 2(5x + 3y) 0 = (6x + 3y) + 2(5x + 3y) 0 = 6x + 3y + (5x * 2 + 3y * 2) 0 = 6x + 3y + (10x + 6y) Reorder the terms: 0 = 6x + 10x + 3y + 6y Combine like terms: 6x + 10x = 16x 0 = 16x + 3y + 6y Combine like terms: 3y + 6y = 9y 0 = 16x + 9y Solving 0 = 16x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 0 + -16x = 16x + -16x + 9y Remove the zero: -16x = 16x + -16x + 9y Combine like terms: 16x + -16x = 0 -16x = 0 + 9y -16x = 9y Divide each side by '-16'. x = -0.5625y Simplifying x = -0.5625y
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