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Simplifying 2x + 7 + (3 + -4) * i = 4 + 6i Combine like terms: 3 + -4 = -1 2x + 7 + (-1) * i = 4 + 6i Reorder the terms: 7 + -1i + 2x = 4 + 6i Solving 7 + -1i + 2x = 4 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 7 + -1i + -6i + 2x = 4 + 6i + -6i Combine like terms: -1i + -6i = -7i 7 + -7i + 2x = 4 + 6i + -6i Combine like terms: 6i + -6i = 0 7 + -7i + 2x = 4 + 0 7 + -7i + 2x = 4 Add '-7' to each side of the equation. 7 + -7i + -7 + 2x = 4 + -7 Reorder the terms: 7 + -7 + -7i + 2x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -7i + 2x = 4 + -7 -7i + 2x = 4 + -7 Combine like terms: 4 + -7 = -3 -7i + 2x = -3 Add '-2x' to each side of the equation. -7i + 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 -7i + 0 = -3 + -2x -7i = -3 + -2x Divide each side by '-7'. i = 0.4285714286 + 0.2857142857x Simplifying i = 0.4285714286 + 0.2857142857x
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