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Simplifying 12x + -7i = 3(3x + -7u) Reorder the terms: -7i + 12x = 3(3x + -7u) Reorder the terms: -7i + 12x = 3(-7u + 3x) -7i + 12x = (-7u * 3 + 3x * 3) -7i + 12x = (-21u + 9x) Solving -7i + 12x = -21u + 9x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12x' to each side of the equation. -7i + 12x + -12x = -21u + 9x + -12x Combine like terms: 12x + -12x = 0 -7i + 0 = -21u + 9x + -12x -7i = -21u + 9x + -12x Combine like terms: 9x + -12x = -3x -7i = -21u + -3x Divide each side by '-7'. i = 3u + 0.4285714286x Simplifying i = 3u + 0.4285714286x
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