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Simplifying x + 2i + 2(3 + -5yi) = 8 + -13i x + 2i + (3 * 2 + -5iy * 2) = 8 + -13i x + 2i + (6 + -10iy) = 8 + -13i Reorder the terms: 6 + 2i + -10iy + x = 8 + -13i Solving 6 + 2i + -10iy + x = 8 + -13i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13i' to each side of the equation. 6 + 2i + -10iy + 13i + x = 8 + -13i + 13i Reorder the terms: 6 + 2i + 13i + -10iy + x = 8 + -13i + 13i Combine like terms: 2i + 13i = 15i 6 + 15i + -10iy + x = 8 + -13i + 13i Combine like terms: -13i + 13i = 0 6 + 15i + -10iy + x = 8 + 0 6 + 15i + -10iy + x = 8 Add '-6' to each side of the equation. 6 + 15i + -10iy + -6 + x = 8 + -6 Reorder the terms: 6 + -6 + 15i + -10iy + x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 15i + -10iy + x = 8 + -6 15i + -10iy + x = 8 + -6 Combine like terms: 8 + -6 = 2 15i + -10iy + x = 2 Add '-1x' to each side of the equation. 15i + -10iy + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 15i + -10iy + 0 = 2 + -1x 15i + -10iy = 2 + -1x Reorder the terms: -2 + 15i + -10iy + x = 2 + -1x + -2 + x Reorder the terms: -2 + 15i + -10iy + x = 2 + -2 + -1x + x Combine like terms: 2 + -2 = 0 -2 + 15i + -10iy + x = 0 + -1x + x -2 + 15i + -10iy + x = -1x + x Combine like terms: -1x + x = 0 -2 + 15i + -10iy + x = 0 The solution to this equation could not be determined.
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