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Simplifying (3 + 5x) + 7i = 4 + -1(9 + -1y) * i Remove parenthesis around (3 + 5x) 3 + 5x + 7i = 4 + -1(9 + -1y) * i Reorder the terms: 3 + 7i + 5x = 4 + -1(9 + -1y) * i Reorder the terms for easier multiplication: 3 + 7i + 5x = 4 + -1i(9 + -1y) 3 + 7i + 5x = 4 + (9 * -1i + -1y * -1i) 3 + 7i + 5x = 4 + (-9i + 1iy) Solving 3 + 7i + 5x = 4 + -9i + 1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. 3 + 7i + 9i + 5x = 4 + -9i + 9i + 1iy Combine like terms: 7i + 9i = 16i 3 + 16i + 5x = 4 + -9i + 9i + 1iy Combine like terms: -9i + 9i = 0 3 + 16i + 5x = 4 + 0 + 1iy 3 + 16i + 5x = 4 + 1iy Add '-1iy' to each side of the equation. 3 + 16i + -1iy + 5x = 4 + 1iy + -1iy Combine like terms: 1iy + -1iy = 0 3 + 16i + -1iy + 5x = 4 + 0 3 + 16i + -1iy + 5x = 4 Add '-3' to each side of the equation. 3 + 16i + -1iy + -3 + 5x = 4 + -3 Reorder the terms: 3 + -3 + 16i + -1iy + 5x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 16i + -1iy + 5x = 4 + -3 16i + -1iy + 5x = 4 + -3 Combine like terms: 4 + -3 = 1 16i + -1iy + 5x = 1 Add '-5x' to each side of the equation. 16i + -1iy + 5x + -5x = 1 + -5x Combine like terms: 5x + -5x = 0 16i + -1iy + 0 = 1 + -5x 16i + -1iy = 1 + -5x Reorder the terms: -1 + 16i + -1iy + 5x = 1 + -5x + -1 + 5x Reorder the terms: -1 + 16i + -1iy + 5x = 1 + -1 + -5x + 5x Combine like terms: 1 + -1 = 0 -1 + 16i + -1iy + 5x = 0 + -5x + 5x -1 + 16i + -1iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 16i + -1iy + 5x = 0 The solution to this equation could not be determined.
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