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Simplifying 2x + 6i = 7 + 2yi Reorder the terms: 6i + 2x = 7 + 2yi Solving 6i + 2x = 7 + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. 6i + -2iy + 2x = 7 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 6i + -2iy + 2x = 7 + 0 6i + -2iy + 2x = 7 Add '-2x' to each side of the equation. 6i + -2iy + 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 6i + -2iy + 0 = 7 + -2x 6i + -2iy = 7 + -2x Reorder the terms: -7 + 6i + -2iy + 2x = 7 + -2x + -7 + 2x Reorder the terms: -7 + 6i + -2iy + 2x = 7 + -7 + -2x + 2x Combine like terms: 7 + -7 = 0 -7 + 6i + -2iy + 2x = 0 + -2x + 2x -7 + 6i + -2iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 6i + -2iy + 2x = 0 The solution to this equation could not be determined.
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