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Simplifying X + 38 = (10x + 9)(7x + 1) Reorder the terms: 38 + X = (10x + 9)(7x + 1) Reorder the terms: 38 + X = (9 + 10x)(7x + 1) Reorder the terms: 38 + X = (9 + 10x)(1 + 7x) Multiply (9 + 10x) * (1 + 7x) 38 + X = (9(1 + 7x) + 10x * (1 + 7x)) 38 + X = ((1 * 9 + 7x * 9) + 10x * (1 + 7x)) 38 + X = ((9 + 63x) + 10x * (1 + 7x)) 38 + X = (9 + 63x + (1 * 10x + 7x * 10x)) 38 + X = (9 + 63x + (10x + 70x2)) Combine like terms: 63x + 10x = 73x 38 + X = (9 + 73x + 70x2) Solving 38 + X = 9 + 73x + 70x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + X = 9 + 73x + -38 + 70x2 Combine like terms: 38 + -38 = 0 0 + X = 9 + 73x + -38 + 70x2 X = 9 + 73x + -38 + 70x2 Reorder the terms: X = 9 + -38 + 73x + 70x2 Combine like terms: 9 + -38 = -29 X = -29 + 73x + 70x2 Simplifying X = -29 + 73x + 70x2
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