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Simplifying (6 + -1i) + -1(8 + 6i) = x Remove parenthesis around (6 + -1i) 6 + -1i + -1(8 + 6i) = x 6 + -1i + (8 * -1 + 6i * -1) = x 6 + -1i + (-8 + -6i) = x Reorder the terms: 6 + -8 + -1i + -6i = x Combine like terms: 6 + -8 = -2 -2 + -1i + -6i = x Combine like terms: -1i + -6i = -7i -2 + -7i = x Solving -2 + -7i = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7i = 2 + x Combine like terms: -2 + 2 = 0 0 + -7i = 2 + x -7i = 2 + x Divide each side by '-7'. i = -0.2857142857 + -0.1428571429x Simplifying i = -0.2857142857 + -0.1428571429x
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