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Simplifying b = 3(1 + -4x) + -1(5x + 2)(7 + x) b = (1 * 3 + -4x * 3) + -1(5x + 2)(7 + x) b = (3 + -12x) + -1(5x + 2)(7 + x) Reorder the terms: b = 3 + -12x + -1(2 + 5x)(7 + x) Multiply (2 + 5x) * (7 + x) b = 3 + -12x + -1(2(7 + x) + 5x * (7 + x)) b = 3 + -12x + -1((7 * 2 + x * 2) + 5x * (7 + x)) b = 3 + -12x + -1((14 + 2x) + 5x * (7 + x)) b = 3 + -12x + -1(14 + 2x + (7 * 5x + x * 5x)) b = 3 + -12x + -1(14 + 2x + (35x + 5x2)) Combine like terms: 2x + 35x = 37x b = 3 + -12x + -1(14 + 37x + 5x2) b = 3 + -12x + (14 * -1 + 37x * -1 + 5x2 * -1) b = 3 + -12x + (-14 + -37x + -5x2) Reorder the terms: b = 3 + -14 + -12x + -37x + -5x2 Combine like terms: 3 + -14 = -11 b = -11 + -12x + -37x + -5x2 Combine like terms: -12x + -37x = -49x b = -11 + -49x + -5x2 Solving b = -11 + -49x + -5x2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Simplifying b = -11 + -49x + -5x2
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