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Simplifying (A + b) * x = 5(a + b) Reorder the terms for easier multiplication: x(A + b) = 5(a + b) (A * x + b * x) = 5(a + b) Reorder the terms: (bx + xA) = 5(a + b) (bx + xA) = 5(a + b) bx + xA = (a * 5 + b * 5) bx + xA = (5a + 5b) Solving bx + xA = 5a + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. bx + -5b + xA = 5a + 5b + -5b Reorder the terms: -5b + bx + xA = 5a + 5b + -5b Combine like terms: 5b + -5b = 0 -5b + bx + xA = 5a + 0 -5b + bx + xA = 5a Add '-1xA' to each side of the equation. -5b + bx + xA + -1xA = 5a + -1xA Combine like terms: xA + -1xA = 0 -5b + bx + 0 = 5a + -1xA -5b + bx = 5a + -1xA Reorder the terms: -5a + -5b + bx + xA = 5a + -1xA + -5a + xA Reorder the terms: -5a + -5b + bx + xA = 5a + -5a + -1xA + xA Combine like terms: 5a + -5a = 0 -5a + -5b + bx + xA = 0 + -1xA + xA -5a + -5b + bx + xA = -1xA + xA Combine like terms: -1xA + xA = 0 -5a + -5b + bx + xA = 0 The solution to this equation could not be determined.
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