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