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Simplifying (x + 4i) = (2 + -1i) + (3 + -3yi) Reorder the terms: (4i + x) = (2 + -1i) + (3 + -3yi) Remove parenthesis around (4i + x) 4i + x = (2 + -1i) + (3 + -3yi) Remove parenthesis around (2 + -1i) 4i + x = 2 + -1i + (3 + -3yi) Remove parenthesis around (3 + -3iy) 4i + x = 2 + -1i + 3 + -3iy Reorder the terms: 4i + x = 2 + 3 + -1i + -3iy Combine like terms: 2 + 3 = 5 4i + x = 5 + -1i + -3iy Solving 4i + x = 5 + -1i + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 4i + i + x = 5 + -1i + i + -3iy Combine like terms: 4i + i = 5i 5i + x = 5 + -1i + i + -3iy Combine like terms: -1i + i = 0 5i + x = 5 + 0 + -3iy 5i + x = 5 + -3iy Add '3iy' to each side of the equation. 5i + 3iy + x = 5 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 5i + 3iy + x = 5 + 0 5i + 3iy + x = 5 Add '-1x' to each side of the equation. 5i + 3iy + x + -1x = 5 + -1x Combine like terms: x + -1x = 0 5i + 3iy + 0 = 5 + -1x 5i + 3iy = 5 + -1x Reorder the terms: -5 + 5i + 3iy + x = 5 + -1x + -5 + x Reorder the terms: -5 + 5i + 3iy + x = 5 + -5 + -1x + x Combine like terms: 5 + -5 = 0 -5 + 5i + 3iy + x = 0 + -1x + x -5 + 5i + 3iy + x = -1x + x Combine like terms: -1x + x = 0 -5 + 5i + 3iy + x = 0 The solution to this equation could not be determined.
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