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