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Simplifying 4 + 3i = 7i + x + 2 + yi Reorder the terms: 4 + 3i = 2 + 7i + iy + x Solving 4 + 3i = 2 + 7i + iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 4 + 3i + -7i = 2 + 7i + iy + -7i + x Combine like terms: 3i + -7i = -4i 4 + -4i = 2 + 7i + iy + -7i + x Reorder the terms: 4 + -4i = 2 + 7i + -7i + iy + x Combine like terms: 7i + -7i = 0 4 + -4i = 2 + 0 + iy + x 4 + -4i = 2 + iy + x Add '-1iy' to each side of the equation. 4 + -4i + -1iy = 2 + iy + -1iy + x Combine like terms: iy + -1iy = 0 4 + -4i + -1iy = 2 + 0 + x 4 + -4i + -1iy = 2 + x Add '-4' to each side of the equation. 4 + -4i + -4 + -1iy = 2 + -4 + x Reorder the terms: 4 + -4 + -4i + -1iy = 2 + -4 + x Combine like terms: 4 + -4 = 0 0 + -4i + -1iy = 2 + -4 + x -4i + -1iy = 2 + -4 + x Combine like terms: 2 + -4 = -2 -4i + -1iy = -2 + x Reorder the terms: 2 + -4i + -1iy + -1x = -2 + x + 2 + -1x Reorder the terms: 2 + -4i + -1iy + -1x = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 2 + -4i + -1iy + -1x = 0 + x + -1x 2 + -4i + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 2 + -4i + -1iy + -1x = 0 The solution to this equation could not be determined.
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