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Simplifying Ax + b = cx + -1b Reorder the terms: b + xA = cx + -1b Reorder the terms: b + xA = -1b + cx Solving b + xA = -1b + cx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. b + b + xA = -1b + b + cx Combine like terms: b + b = 2b 2b + xA = -1b + b + cx Combine like terms: -1b + b = 0 2b + xA = 0 + cx 2b + xA = cx Add '-1xA' to each side of the equation. 2b + xA + -1xA = cx + -1xA Combine like terms: xA + -1xA = 0 2b + 0 = cx + -1xA 2b = cx + -1xA Divide each side by '2'. b = 0.5cx + -0.5xA Simplifying b = 0.5cx + -0.5xA
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