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Simplifying (11 + -3x) + (7 + 4y) * i = -17 + i Remove parenthesis around (11 + -3x) 11 + -3x + (7 + 4y) * i = -17 + i Reorder the terms for easier multiplication: 11 + -3x + i(7 + 4y) = -17 + i 11 + -3x + (7 * i + 4y * i) = -17 + i 11 + -3x + (7i + 4iy) = -17 + i Reorder the terms: 11 + 7i + 4iy + -3x = -17 + i Solving 11 + 7i + 4iy + -3x = -17 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 11 + 7i + 4iy + -1i + -3x = -17 + i + -1i Reorder the terms: 11 + 7i + -1i + 4iy + -3x = -17 + i + -1i Combine like terms: 7i + -1i = 6i 11 + 6i + 4iy + -3x = -17 + i + -1i Combine like terms: i + -1i = 0 11 + 6i + 4iy + -3x = -17 + 0 11 + 6i + 4iy + -3x = -17 Add '-11' to each side of the equation. 11 + 6i + 4iy + -11 + -3x = -17 + -11 Reorder the terms: 11 + -11 + 6i + 4iy + -3x = -17 + -11 Combine like terms: 11 + -11 = 0 0 + 6i + 4iy + -3x = -17 + -11 6i + 4iy + -3x = -17 + -11 Combine like terms: -17 + -11 = -28 6i + 4iy + -3x = -28 Add '3x' to each side of the equation. 6i + 4iy + -3x + 3x = -28 + 3x Combine like terms: -3x + 3x = 0 6i + 4iy + 0 = -28 + 3x 6i + 4iy = -28 + 3x Reorder the terms: 28 + 6i + 4iy + -3x = -28 + 3x + 28 + -3x Reorder the terms: 28 + 6i + 4iy + -3x = -28 + 28 + 3x + -3x Combine like terms: -28 + 28 = 0 28 + 6i + 4iy + -3x = 0 + 3x + -3x 28 + 6i + 4iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 28 + 6i + 4iy + -3x = 0 The solution to this equation could not be determined.
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