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