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Simplifying (1 + -8i) + -1(1 + -8x) = -8i + -8x Remove parenthesis around (1 + -8i) 1 + -8i + -1(1 + -8x) = -8i + -8x 1 + -8i + (1 * -1 + -8x * -1) = -8i + -8x 1 + -8i + (-1 + 8x) = -8i + -8x Reorder the terms: 1 + -1 + -8i + 8x = -8i + -8x Combine like terms: 1 + -1 = 0 0 + -8i + 8x = -8i + -8x -8i + 8x = -8i + -8x Add '8i' to each side of the equation. -8i + 8i + 8x = -8i + 8i + -8x Combine like terms: -8i + 8i = 0 0 + 8x = -8i + 8i + -8x 8x = -8i + 8i + -8x Combine like terms: -8i + 8i = 0 8x = 0 + -8x 8x = -8x Solving 8x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -8x + 8x Combine like terms: -8x + 8x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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