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Simplifying D = (x + 5)(2x + -3) + -3(4x + 1) Reorder the terms: D = (5 + x)(2x + -3) + -3(4x + 1) Reorder the terms: D = (5 + x)(-3 + 2x) + -3(4x + 1) Multiply (5 + x) * (-3 + 2x) D = (5(-3 + 2x) + x(-3 + 2x)) + -3(4x + 1) D = ((-3 * 5 + 2x * 5) + x(-3 + 2x)) + -3(4x + 1) D = ((-15 + 10x) + x(-3 + 2x)) + -3(4x + 1) D = (-15 + 10x + (-3 * x + 2x * x)) + -3(4x + 1) D = (-15 + 10x + (-3x + 2x2)) + -3(4x + 1) Combine like terms: 10x + -3x = 7x D = (-15 + 7x + 2x2) + -3(4x + 1) Reorder the terms: D = -15 + 7x + 2x2 + -3(1 + 4x) D = -15 + 7x + 2x2 + (1 * -3 + 4x * -3) D = -15 + 7x + 2x2 + (-3 + -12x) Reorder the terms: D = -15 + -3 + 7x + -12x + 2x2 Combine like terms: -15 + -3 = -18 D = -18 + 7x + -12x + 2x2 Combine like terms: 7x + -12x = -5x D = -18 + -5x + 2x2 Solving D = -18 + -5x + 2x2 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Simplifying D = -18 + -5x + 2x2
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