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Simplifying 2(3x + y) + 5(x + 2y) = 0 (3x * 2 + y * 2) + 5(x + 2y) = 0 (6x + 2y) + 5(x + 2y) = 0 6x + 2y + (x * 5 + 2y * 5) = 0 6x + 2y + (5x + 10y) = 0 Reorder the terms: 6x + 5x + 2y + 10y = 0 Combine like terms: 6x + 5x = 11x 11x + 2y + 10y = 0 Combine like terms: 2y + 10y = 12y 11x + 12y = 0 Solving 11x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 11x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 11x + 0 = 0 + -12y 11x = 0 + -12y Remove the zero: 11x = -12y Divide each side by '11'. x = -1.090909091y Simplifying x = -1.090909091y
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