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Simplifying (A + b) * x = a + b Reorder the terms for easier multiplication: x(A + b) = a + b (A * x + b * x) = a + b Reorder the terms: (bx + xA) = a + b (bx + xA) = a + b Solving bx + xA = a + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. bx + -1b + xA = a + b + -1b Reorder the terms: -1b + bx + xA = a + b + -1b Combine like terms: b + -1b = 0 -1b + bx + xA = a + 0 -1b + bx + xA = a Add '-1xA' to each side of the equation. -1b + bx + xA + -1xA = a + -1xA Combine like terms: xA + -1xA = 0 -1b + bx + 0 = a + -1xA -1b + bx = a + -1xA Reorder the terms: -1a + -1b + bx + xA = a + -1xA + -1a + xA Reorder the terms: -1a + -1b + bx + xA = a + -1a + -1xA + xA Combine like terms: a + -1a = 0 -1a + -1b + bx + xA = 0 + -1xA + xA -1a + -1b + bx + xA = -1xA + xA Combine like terms: -1xA + xA = 0 -1a + -1b + bx + xA = 0 The solution to this equation could not be determined.
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