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