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Simplifying 5x + 10i + -2 + 3x + -2i + -7 = 0 Reorder the terms: -2 + -7 + 10i + -2i + 5x + 3x = 0 Combine like terms: -2 + -7 = -9 -9 + 10i + -2i + 5x + 3x = 0 Combine like terms: 10i + -2i = 8i -9 + 8i + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -9 + 8i + 8x = 0 Solving -9 + 8i + 8x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8i + 9 + 8x = 0 + 9 Reorder the terms: -9 + 9 + 8i + 8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8i + 8x = 0 + 9 8i + 8x = 0 + 9 Combine like terms: 0 + 9 = 9 8i + 8x = 9 Add '-8x' to each side of the equation. 8i + 8x + -8x = 9 + -8x Combine like terms: 8x + -8x = 0 8i + 0 = 9 + -8x 8i = 9 + -8x Divide each side by '8'. i = 1.125 + -1x Simplifying i = 1.125 + -1x
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