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Simplifying 3(2x + y) + 2(5x + y) = 0 (2x * 3 + y * 3) + 2(5x + y) = 0 (6x + 3y) + 2(5x + y) = 0 6x + 3y + (5x * 2 + y * 2) = 0 6x + 3y + (10x + 2y) = 0 Reorder the terms: 6x + 10x + 3y + 2y = 0 Combine like terms: 6x + 10x = 16x 16x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y 16x + 5y = 0 Solving 16x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 16x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 16x + 0 = 0 + -5y 16x = 0 + -5y Remove the zero: 16x = -5y Divide each side by '16'. x = -0.3125y Simplifying x = -0.3125y
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