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Simplifying 14x + x2 = (x + 1)(x + 1) Reorder the terms: 14x + x2 = (1 + x)(x + 1) Reorder the terms: 14x + x2 = (1 + x)(1 + x) Multiply (1 + x) * (1 + x) 14x + x2 = (1(1 + x) + x(1 + x)) 14x + x2 = ((1 * 1 + x * 1) + x(1 + x)) 14x + x2 = ((1 + 1x) + x(1 + x)) 14x + x2 = (1 + 1x + (1 * x + x * x)) 14x + x2 = (1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x 14x + x2 = (1 + 2x + x2) Add '-1x2' to each side of the equation. 14x + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14x + 0 = 1 + 2x + x2 + -1x2 14x = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14x = 1 + 2x + 0 14x = 1 + 2x Solving 14x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14x + -2x = 1 + 2x + -2x Combine like terms: 14x + -2x = 12x 12x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 12x = 1 + 0 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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