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Simplifying X + 2 + -1x + -1ix = 2 Reorder the terms: 2 + X + -1ix + -1x = 2 Add '-2' to each side of the equation. 2 + X + -1ix + -2 + -1x = 2 + -2 Reorder the terms: 2 + -2 + X + -1ix + -1x = 2 + -2 Combine like terms: 2 + -2 = 0 0 + X + -1ix + -1x = 2 + -2 X + -1ix + -1x = 2 + -2 Combine like terms: 2 + -2 = 0 X + -1ix + -1x = 0 Solving X + -1ix + -1x = 0 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 + ix + -1x = 0 + ix Combine like terms: -1ix + ix = 0 X + 0 + -1x = 0 + ix X + -1x = 0 + ix Remove the zero: X + -1x = ix Add 'x' to each side of the equation. X + -1x + x = ix + x Combine like terms: -1x + x = 0 X + 0 = ix + x X = ix + x Simplifying X = ix + x
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