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Simplifying (x + 1) + 5yi = 8 + 10i Reorder the terms: (1 + x) + 5yi = 8 + 10i Remove parenthesis around (1 + x) 1 + x + 5yi = 8 + 10i Reorder the terms: 1 + 5iy + x = 8 + 10i Solving 1 + 5iy + x = 8 + 10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10i' to each side of the equation. 1 + 5iy + -10i + x = 8 + 10i + -10i Reorder the terms: 1 + -10i + 5iy + x = 8 + 10i + -10i Combine like terms: 10i + -10i = 0 1 + -10i + 5iy + x = 8 + 0 1 + -10i + 5iy + x = 8 Add '-1' to each side of the equation. 1 + -10i + 5iy + -1 + x = 8 + -1 Reorder the terms: 1 + -1 + -10i + 5iy + x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -10i + 5iy + x = 8 + -1 -10i + 5iy + x = 8 + -1 Combine like terms: 8 + -1 = 7 -10i + 5iy + x = 7 Add '-1x' to each side of the equation. -10i + 5iy + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 -10i + 5iy + 0 = 7 + -1x -10i + 5iy = 7 + -1x Reorder the terms: -7 + -10i + 5iy + x = 7 + -1x + -7 + x Reorder the terms: -7 + -10i + 5iy + x = 7 + -7 + -1x + x Combine like terms: 7 + -7 = 0 -7 + -10i + 5iy + x = 0 + -1x + x -7 + -10i + 5iy + x = -1x + x Combine like terms: -1x + x = 0 -7 + -10i + 5iy + x = 0 The solution to this equation could not be determined.
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