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Simplifying 2x + 7 + (3 + -7) * i = -4 + 6i Combine like terms: 3 + -7 = -4 2x + 7 + (-4) * i = -4 + 6i Reorder the terms: 7 + -4i + 2x = -4 + 6i Solving 7 + -4i + 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 + -4i + -6i + 2x = -4 + 6i + -6i Combine like terms: -4i + -6i = -10i 7 + -10i + 2x = -4 + 6i + -6i Combine like terms: 6i + -6i = 0 7 + -10i + 2x = -4 + 0 7 + -10i + 2x = -4 Add '-7' to each side of the equation. 7 + -10i + -7 + 2x = -4 + -7 Reorder the terms: 7 + -7 + -10i + 2x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -10i + 2x = -4 + -7 -10i + 2x = -4 + -7 Combine like terms: -4 + -7 = -11 -10i + 2x = -11 Add '-2x' to each side of the equation. -10i + 2x + -2x = -11 + -2x Combine like terms: 2x + -2x = 0 -10i + 0 = -11 + -2x -10i = -11 + -2x Divide each side by '-10'. i = 1.1 + 0.2x Simplifying i = 1.1 + 0.2x
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