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Simplifying 5(x + y) + 3(2x + -1y) = 0 (x * 5 + y * 5) + 3(2x + -1y) = 0 (5x + 5y) + 3(2x + -1y) = 0 5x + 5y + (2x * 3 + -1y * 3) = 0 5x + 5y + (6x + -3y) = 0 Reorder the terms: 5x + 6x + 5y + -3y = 0 Combine like terms: 5x + 6x = 11x 11x + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y 11x + 2y = 0 Solving 11x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 11x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 11x + 0 = 0 + -2y 11x = 0 + -2y Remove the zero: 11x = -2y Divide each side by '11'. x = -0.1818181818y Simplifying x = -0.1818181818y
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