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Simplifying (X + 2y) + (7x + y) * i = 3 + 8i Remove parenthesis around (X + 2y) X + 2y + (7x + y) * i = 3 + 8i Reorder the terms for easier multiplication: X + 2y + i(7x + y) = 3 + 8i X + 2y + (7x * i + y * i) = 3 + 8i X + 2y + (7ix + iy) = 3 + 8i Reorder the terms: X + 7ix + iy + 2y = 3 + 8i Solving X + 7ix + iy + 2y = 3 + 8i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7ix' to each side of the equation. X + 7ix + iy + -7ix + 2y = 3 + 8i + -7ix Reorder the terms: X + 7ix + -7ix + iy + 2y = 3 + 8i + -7ix Combine like terms: 7ix + -7ix = 0 X + 0 + iy + 2y = 3 + 8i + -7ix X + iy + 2y = 3 + 8i + -7ix Add '-1iy' to each side of the equation. X + iy + -1iy + 2y = 3 + 8i + -7ix + -1iy Combine like terms: iy + -1iy = 0 X + 0 + 2y = 3 + 8i + -7ix + -1iy X + 2y = 3 + 8i + -7ix + -1iy Add '-2y' to each side of the equation. X + 2y + -2y = 3 + 8i + -7ix + -1iy + -2y Combine like terms: 2y + -2y = 0 X + 0 = 3 + 8i + -7ix + -1iy + -2y X = 3 + 8i + -7ix + -1iy + -2y Simplifying X = 3 + 8i + -7ix + -1iy + -2y
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