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Simplifying 3(x + -1y) + 2(4x + 2y) = 0 (x * 3 + -1y * 3) + 2(4x + 2y) = 0 (3x + -3y) + 2(4x + 2y) = 0 3x + -3y + (4x * 2 + 2y * 2) = 0 3x + -3y + (8x + 4y) = 0 Reorder the terms: 3x + 8x + -3y + 4y = 0 Combine like terms: 3x + 8x = 11x 11x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 11x + 1y = 0 Solving 11x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 11x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 11x + 0 = 0 + -1y 11x = 0 + -1y Remove the zero: 11x = -1y Divide each side by '11'. x = -0.09090909091y Simplifying x = -0.09090909091y
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