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Simplifying x + 1 + 2yi = 3 + -6 Reorder the terms: 1 + 2iy + x = 3 + -6 Combine like terms: 3 + -6 = -3 1 + 2iy + x = -3 Solving 1 + 2iy + x = -3 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2iy + -1 + x = -3 + -1 Reorder the terms: 1 + -1 + 2iy + x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 2iy + x = -3 + -1 2iy + x = -3 + -1 Combine like terms: -3 + -1 = -4 2iy + x = -4 Add '-1x' to each side of the equation. 2iy + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 2iy + 0 = -4 + -1x 2iy = -4 + -1x Divide each side by '2y'. i = -2y-1 + -0.5xy-1 Simplifying i = -2y-1 + -0.5xy-1 Reorder the terms: i = -0.5xy-1 + -2y-1
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