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Simplifying 15x + 10i + -2 + -3x + -2i + -7 = 0 Reorder the terms: -2 + -7 + 10i + -2i + 15x + -3x = 0 Combine like terms: -2 + -7 = -9 -9 + 10i + -2i + 15x + -3x = 0 Combine like terms: 10i + -2i = 8i -9 + 8i + 15x + -3x = 0 Combine like terms: 15x + -3x = 12x -9 + 8i + 12x = 0 Solving -9 + 8i + 12x = 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 + 12x = 0 + 9 Reorder the terms: -9 + 9 + 8i + 12x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8i + 12x = 0 + 9 8i + 12x = 0 + 9 Combine like terms: 0 + 9 = 9 8i + 12x = 9 Add '-12x' to each side of the equation. 8i + 12x + -12x = 9 + -12x Combine like terms: 12x + -12x = 0 8i + 0 = 9 + -12x 8i = 9 + -12x Divide each side by '8'. i = 1.125 + -1.5x Simplifying i = 1.125 + -1.5x
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