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