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Simplifying 3x2 + 17x + 3 = (x + 1)(3x + 13) Reorder the terms: 3 + 17x + 3x2 = (x + 1)(3x + 13) Reorder the terms: 3 + 17x + 3x2 = (1 + x)(3x + 13) Reorder the terms: 3 + 17x + 3x2 = (1 + x)(13 + 3x) Multiply (1 + x) * (13 + 3x) 3 + 17x + 3x2 = (1(13 + 3x) + x(13 + 3x)) 3 + 17x + 3x2 = ((13 * 1 + 3x * 1) + x(13 + 3x)) 3 + 17x + 3x2 = ((13 + 3x) + x(13 + 3x)) 3 + 17x + 3x2 = (13 + 3x + (13 * x + 3x * x)) 3 + 17x + 3x2 = (13 + 3x + (13x + 3x2)) Combine like terms: 3x + 13x = 16x 3 + 17x + 3x2 = (13 + 16x + 3x2) Add '-3x2' to each side of the equation. 3 + 17x + 3x2 + -3x2 = 13 + 16x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + 17x + 0 = 13 + 16x + 3x2 + -3x2 3 + 17x = 13 + 16x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + 17x = 13 + 16x + 0 3 + 17x = 13 + 16x Solving 3 + 17x = 13 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3 + 17x + -16x = 13 + 16x + -16x Combine like terms: 17x + -16x = 1x 3 + 1x = 13 + 16x + -16x Combine like terms: 16x + -16x = 0 3 + 1x = 13 + 0 3 + 1x = 13 Add '-3' to each side of the equation. 3 + -3 + 1x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 13 + -3 1x = 13 + -3 Combine like terms: 13 + -3 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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