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Simplifying 2a = (x + 3)(2x + 14) Reorder the terms: 2a = (3 + x)(2x + 14) Reorder the terms: 2a = (3 + x)(14 + 2x) Multiply (3 + x) * (14 + 2x) 2a = (3(14 + 2x) + x(14 + 2x)) 2a = ((14 * 3 + 2x * 3) + x(14 + 2x)) 2a = ((42 + 6x) + x(14 + 2x)) 2a = (42 + 6x + (14 * x + 2x * x)) 2a = (42 + 6x + (14x + 2x2)) Combine like terms: 6x + 14x = 20x 2a = (42 + 20x + 2x2) Solving 2a = 42 + 20x + 2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '2'. a = 21 + 10x + x2 Simplifying a = 21 + 10x + x2
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