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Simplifying B = (4x + -12)(2x + 3) + 3x(x + -1) + 36 Reorder the terms: B = (-12 + 4x)(2x + 3) + 3x(x + -1) + 36 Reorder the terms: B = (-12 + 4x)(3 + 2x) + 3x(x + -1) + 36 Multiply (-12 + 4x) * (3 + 2x) B = (-12(3 + 2x) + 4x * (3 + 2x)) + 3x(x + -1) + 36 B = ((3 * -12 + 2x * -12) + 4x * (3 + 2x)) + 3x(x + -1) + 36 B = ((-36 + -24x) + 4x * (3 + 2x)) + 3x(x + -1) + 36 B = (-36 + -24x + (3 * 4x + 2x * 4x)) + 3x(x + -1) + 36 B = (-36 + -24x + (12x + 8x2)) + 3x(x + -1) + 36 Combine like terms: -24x + 12x = -12x B = (-36 + -12x + 8x2) + 3x(x + -1) + 36 Reorder the terms: B = -36 + -12x + 8x2 + 3x(-1 + x) + 36 B = -36 + -12x + 8x2 + (-1 * 3x + x * 3x) + 36 B = -36 + -12x + 8x2 + (-3x + 3x2) + 36 Reorder the terms: B = -36 + 36 + -12x + -3x + 8x2 + 3x2 Combine like terms: -36 + 36 = 0 B = 0 + -12x + -3x + 8x2 + 3x2 B = -12x + -3x + 8x2 + 3x2 Combine like terms: -12x + -3x = -15x B = -15x + 8x2 + 3x2 Combine like terms: 8x2 + 3x2 = 11x2 B = -15x + 11x2 Solving B = -15x + 11x2 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Simplifying B = -15x + 11x2
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