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Simplifying x + -4(i + -2) = 1 Reorder the terms: x + -4(-2 + i) = 1 x + (-2 * -4 + i * -4) = 1 x + (8 + -4i) = 1 Reorder the terms: 8 + -4i + x = 1 Solving 8 + -4i + x = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4i + -8 + x = 1 + -8 Reorder the terms: 8 + -8 + -4i + x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -4i + x = 1 + -8 -4i + x = 1 + -8 Combine like terms: 1 + -8 = -7 -4i + x = -7 Add '-1x' to each side of the equation. -4i + x + -1x = -7 + -1x Combine like terms: x + -1x = 0 -4i + 0 = -7 + -1x -4i = -7 + -1x Divide each side by '-4'. i = 1.75 + 0.25x Simplifying i = 1.75 + 0.25x
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