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Simplifying x2 + -1(2 + i) = 1 + -7i x2 + (2 * -1 + i * -1) = 1 + -7i x2 + (-2 + -1i) = 1 + -7i Reorder the terms: -2 + -1i + x2 = 1 + -7i Solving -2 + -1i + x2 = 1 + -7i 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. -2 + -1i + 7i + x2 = 1 + -7i + 7i Combine like terms: -1i + 7i = 6i -2 + 6i + x2 = 1 + -7i + 7i Combine like terms: -7i + 7i = 0 -2 + 6i + x2 = 1 + 0 -2 + 6i + x2 = 1 Add '2' to each side of the equation. -2 + 6i + 2 + x2 = 1 + 2 Reorder the terms: -2 + 2 + 6i + x2 = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 6i + x2 = 1 + 2 6i + x2 = 1 + 2 Combine like terms: 1 + 2 = 3 6i + x2 = 3 Add '-1x2' to each side of the equation. 6i + x2 + -1x2 = 3 + -1x2 Combine like terms: x2 + -1x2 = 0 6i + 0 = 3 + -1x2 6i = 3 + -1x2 Divide each side by '6'. i = 0.5 + -0.1666666667x2 Simplifying i = 0.5 + -0.1666666667x2
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