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Simplifying x(x + 10) = (x + 2)(x + 7) Reorder the terms: x(10 + x) = (x + 2)(x + 7) (10 * x + x * x) = (x + 2)(x + 7) (10x + x2) = (x + 2)(x + 7) Reorder the terms: 10x + x2 = (2 + x)(x + 7) Reorder the terms: 10x + x2 = (2 + x)(7 + x) Multiply (2 + x) * (7 + x) 10x + x2 = (2(7 + x) + x(7 + x)) 10x + x2 = ((7 * 2 + x * 2) + x(7 + x)) 10x + x2 = ((14 + 2x) + x(7 + x)) 10x + x2 = (14 + 2x + (7 * x + x * x)) 10x + x2 = (14 + 2x + (7x + x2)) Combine like terms: 2x + 7x = 9x 10x + x2 = (14 + 9x + x2) Add '-1x2' to each side of the equation. 10x + x2 + -1x2 = 14 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + 0 = 14 + 9x + x2 + -1x2 10x = 14 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x = 14 + 9x + 0 10x = 14 + 9x Solving 10x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10x + -9x = 14 + 9x + -9x Combine like terms: 10x + -9x = 1x 1x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 1x = 14 + 0 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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