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Simplifying (x + 4i) = (7 + -1i) + (3 + -5yi) Reorder the terms: (4i + x) = (7 + -1i) + (3 + -5yi) Remove parenthesis around (4i + x) 4i + x = (7 + -1i) + (3 + -5yi) Remove parenthesis around (7 + -1i) 4i + x = 7 + -1i + (3 + -5yi) Remove parenthesis around (3 + -5iy) 4i + x = 7 + -1i + 3 + -5iy Reorder the terms: 4i + x = 7 + 3 + -1i + -5iy Combine like terms: 7 + 3 = 10 4i + x = 10 + -1i + -5iy Solving 4i + x = 10 + -1i + -5iy 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 = 10 + -1i + i + -5iy Combine like terms: 4i + i = 5i 5i + x = 10 + -1i + i + -5iy Combine like terms: -1i + i = 0 5i + x = 10 + 0 + -5iy 5i + x = 10 + -5iy Add '5iy' to each side of the equation. 5i + 5iy + x = 10 + -5iy + 5iy Combine like terms: -5iy + 5iy = 0 5i + 5iy + x = 10 + 0 5i + 5iy + x = 10 Add '-1x' to each side of the equation. 5i + 5iy + x + -1x = 10 + -1x Combine like terms: x + -1x = 0 5i + 5iy + 0 = 10 + -1x 5i + 5iy = 10 + -1x Reorder the terms: -10 + 5i + 5iy + x = 10 + -1x + -10 + x Reorder the terms: -10 + 5i + 5iy + x = 10 + -10 + -1x + x Combine like terms: 10 + -10 = 0 -10 + 5i + 5iy + x = 0 + -1x + x -10 + 5i + 5iy + x = -1x + x Combine like terms: -1x + x = 0 -10 + 5i + 5iy + x = 0 The solution to this equation could not be determined.
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