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Simplifying Dx + Xy = g Solving xD + yX = g Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX' to each side of the equation. xD + yX + -1yX = g + -1yX Combine like terms: yX + -1yX = 0 xD + 0 = g + -1yX xD = g + -1yX Divide each side by 'D'. x = gD-1 + -1yD-1X Simplifying x = gD-1 + -1yD-1X
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