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Simplifying 130m = 5x + (6x + 4)(6x + 7) Reorder the terms: 130m = 5x + (4 + 6x)(6x + 7) Reorder the terms: 130m = 5x + (4 + 6x)(7 + 6x) Multiply (4 + 6x) * (7 + 6x) 130m = 5x + (4(7 + 6x) + 6x * (7 + 6x)) 130m = 5x + ((7 * 4 + 6x * 4) + 6x * (7 + 6x)) 130m = 5x + ((28 + 24x) + 6x * (7 + 6x)) 130m = 5x + (28 + 24x + (7 * 6x + 6x * 6x)) 130m = 5x + (28 + 24x + (42x + 36x2)) Combine like terms: 24x + 42x = 66x 130m = 5x + (28 + 66x + 36x2) Reorder the terms: 130m = 28 + 5x + 66x + 36x2 Combine like terms: 5x + 66x = 71x 130m = 28 + 71x + 36x2 Solving 130m = 28 + 71x + 36x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '130'. m = 0.2153846154 + 0.5461538462x + 0.2769230769x2 Simplifying m = 0.2153846154 + 0.5461538462x + 0.2769230769x2
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