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Simplifying x(a + -1b) = cx + d (a * x + -1b * x) = cx + d (ax + -1bx) = cx + d Solving ax + -1bx = cx + d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. ax + -1bx + bx = cx + bx + d Combine like terms: -1bx + bx = 0 ax + 0 = cx + bx + d ax = cx + bx + d Reorder the terms: ax = bx + cx + d Divide each side by 'x'. a = b + c + dx-1 Simplifying a = b + c + dx-1
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