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