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