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Simplifying (2x + 5) + (1 + -1y) * i = -3 + -4i Reorder the terms: (5 + 2x) + (1 + -1y) * i = -3 + -4i Remove parenthesis around (5 + 2x) 5 + 2x + (1 + -1y) * i = -3 + -4i Reorder the terms for easier multiplication: 5 + 2x + i(1 + -1y) = -3 + -4i 5 + 2x + (1 * i + -1y * i) = -3 + -4i 5 + 2x + (1i + -1iy) = -3 + -4i Reorder the terms: 5 + 1i + -1iy + 2x = -3 + -4i Solving 5 + 1i + -1iy + 2x = -3 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 5 + 1i + -1iy + 4i + 2x = -3 + -4i + 4i Reorder the terms: 5 + 1i + 4i + -1iy + 2x = -3 + -4i + 4i Combine like terms: 1i + 4i = 5i 5 + 5i + -1iy + 2x = -3 + -4i + 4i Combine like terms: -4i + 4i = 0 5 + 5i + -1iy + 2x = -3 + 0 5 + 5i + -1iy + 2x = -3 Add '-5' to each side of the equation. 5 + 5i + -1iy + -5 + 2x = -3 + -5 Reorder the terms: 5 + -5 + 5i + -1iy + 2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 5i + -1iy + 2x = -3 + -5 5i + -1iy + 2x = -3 + -5 Combine like terms: -3 + -5 = -8 5i + -1iy + 2x = -8 Add '-2x' to each side of the equation. 5i + -1iy + 2x + -2x = -8 + -2x Combine like terms: 2x + -2x = 0 5i + -1iy + 0 = -8 + -2x 5i + -1iy = -8 + -2x Reorder the terms: 8 + 5i + -1iy + 2x = -8 + -2x + 8 + 2x Reorder the terms: 8 + 5i + -1iy + 2x = -8 + 8 + -2x + 2x Combine like terms: -8 + 8 = 0 8 + 5i + -1iy + 2x = 0 + -2x + 2x 8 + 5i + -1iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 8 + 5i + -1iy + 2x = 0 The solution to this equation could not be determined.
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