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Simplifying (a + -1b) * x = c Reorder the terms for easier multiplication: x(a + -1b) = c (a * x + -1b * x) = c (ax + -1bx) = c Solving ax + -1bx = c 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 = bx + c Combine like terms: -1bx + bx = 0 ax + 0 = bx + c ax = bx + c Divide each side by 'x'. a = b + cx-1 Simplifying a = b + cx-1
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