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Simplifying 12 + -3ix = 2ix + -8 Reorder the terms: 12 + -3ix = -8 + 2ix Solving 12 + -3ix = -8 + 2ix Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ix' to each side of the equation. 12 + -3ix + -2ix = -8 + 2ix + -2ix Combine like terms: -3ix + -2ix = -5ix 12 + -5ix = -8 + 2ix + -2ix Combine like terms: 2ix + -2ix = 0 12 + -5ix = -8 + 0 12 + -5ix = -8 Add '-12' to each side of the equation. 12 + -12 + -5ix = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5ix = -8 + -12 -5ix = -8 + -12 Combine like terms: -8 + -12 = -20 -5ix = -20 Divide each side by '-5x'. i = 4x-1 Simplifying i = 4x-1
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