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Simplifying (A + -1b) * x = 27 Reorder the terms for easier multiplication: x(A + -1b) = 27 (A * x + -1b * x) = 27 Reorder the terms: (-1bx + xA) = 27 (-1bx + xA) = 27 Solving -1bx + xA = 27 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1xA' to each side of the equation. -1bx + xA + -1xA = 27 + -1xA Combine like terms: xA + -1xA = 0 -1bx + 0 = 27 + -1xA -1bx = 27 + -1xA Divide each side by '-1x'. b = -27x-1 + A Simplifying b = -27x-1 + A Reorder the terms: b = A + -27x-1
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