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Simplifying 5i + 1 = 4(2i + 5) + -3x Reorder the terms: 1 + 5i = 4(2i + 5) + -3x Reorder the terms: 1 + 5i = 4(5 + 2i) + -3x 1 + 5i = (5 * 4 + 2i * 4) + -3x 1 + 5i = (20 + 8i) + -3x Solving 1 + 5i = 20 + 8i + -3x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 1 + 5i + -8i = 20 + 8i + -8i + -3x Combine like terms: 5i + -8i = -3i 1 + -3i = 20 + 8i + -8i + -3x Combine like terms: 8i + -8i = 0 1 + -3i = 20 + 0 + -3x 1 + -3i = 20 + -3x Add '-1' to each side of the equation. 1 + -1 + -3i = 20 + -1 + -3x Combine like terms: 1 + -1 = 0 0 + -3i = 20 + -1 + -3x -3i = 20 + -1 + -3x Combine like terms: 20 + -1 = 19 -3i = 19 + -3x Divide each side by '-3'. i = -6.333333333 + x Simplifying i = -6.333333333 + x
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