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Simplifying 14 + -2x2 = (5 + -1x)(2x + 1) Reorder the terms: 14 + -2x2 = (5 + -1x)(1 + 2x) Multiply (5 + -1x) * (1 + 2x) 14 + -2x2 = (5(1 + 2x) + -1x * (1 + 2x)) 14 + -2x2 = ((1 * 5 + 2x * 5) + -1x * (1 + 2x)) 14 + -2x2 = ((5 + 10x) + -1x * (1 + 2x)) 14 + -2x2 = (5 + 10x + (1 * -1x + 2x * -1x)) 14 + -2x2 = (5 + 10x + (-1x + -2x2)) Combine like terms: 10x + -1x = 9x 14 + -2x2 = (5 + 9x + -2x2) Add '2x2' to each side of the equation. 14 + -2x2 + 2x2 = 5 + 9x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 14 + 0 = 5 + 9x + -2x2 + 2x2 14 = 5 + 9x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 14 = 5 + 9x + 0 14 = 5 + 9x Solving 14 = 5 + 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. 14 + -9x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -9x = 5 + 0 14 + -9x = 5 Add '-14' to each side of the equation. 14 + -14 + -9x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 5 + -14 -9x = 5 + -14 Combine like terms: 5 + -14 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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