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Simplifying 5(b + -1x) = 2b + ax(a + -1b) (b * 5 + -1x * 5) = 2b + ax(a + -1b) (5b + -5x) = 2b + ax(a + -1b) 5b + -5x = 2b + (a * ax + -1b * ax) Reorder the terms: 5b + -5x = 2b + (-1abx + a2x) 5b + -5x = 2b + (-1abx + a2x) Reorder the terms: 5b + -5x = -1abx + a2x + 2b Solving 5b + -5x = -1abx + a2x + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'abx' to each side of the equation. 5b + abx + -5x = -1abx + a2x + abx + 2b Reorder the terms: abx + 5b + -5x = -1abx + a2x + abx + 2b Reorder the terms: abx + 5b + -5x = -1abx + abx + a2x + 2b Combine like terms: -1abx + abx = 0 abx + 5b + -5x = 0 + a2x + 2b abx + 5b + -5x = a2x + 2b Add '-2b' to each side of the equation. abx + 5b + -2b + -5x = a2x + 2b + -2b Combine like terms: 5b + -2b = 3b abx + 3b + -5x = a2x + 2b + -2b Combine like terms: 2b + -2b = 0 abx + 3b + -5x = a2x + 0 abx + 3b + -5x = a2x Add '5x' to each side of the equation. abx + 3b + -5x + 5x = a2x + 5x Combine like terms: -5x + 5x = 0 abx + 3b + 0 = a2x + 5x abx + 3b = a2x + 5x Reorder the terms: abx + -1a2x + 3b + -5x = a2x + 5x + -1a2x + -5x Reorder the terms: abx + -1a2x + 3b + -5x = a2x + -1a2x + 5x + -5x Combine like terms: a2x + -1a2x = 0 abx + -1a2x + 3b + -5x = 0 + 5x + -5x abx + -1a2x + 3b + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 abx + -1a2x + 3b + -5x = 0 The solution to this equation could not be determined.
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