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Simplifying 5 + x * x = (x + 1)(x + 6) Multiply x * x 5 + x2 = (x + 1)(x + 6) Reorder the terms: 5 + x2 = (1 + x)(x + 6) Reorder the terms: 5 + x2 = (1 + x)(6 + x) Multiply (1 + x) * (6 + x) 5 + x2 = (1(6 + x) + x(6 + x)) 5 + x2 = ((6 * 1 + x * 1) + x(6 + x)) 5 + x2 = ((6 + 1x) + x(6 + x)) 5 + x2 = (6 + 1x + (6 * x + x * x)) 5 + x2 = (6 + 1x + (6x + x2)) Combine like terms: 1x + 6x = 7x 5 + x2 = (6 + 7x + x2) Add '-1x2' to each side of the equation. 5 + x2 + -1x2 = 6 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 0 = 6 + 7x + x2 + -1x2 5 = 6 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 = 6 + 7x + 0 5 = 6 + 7x Solving 5 = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -7x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -7x = 6 + 0 5 + -7x = 6 Add '-5' to each side of the equation. 5 + -5 + -7x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 6 + -5 -7x = 6 + -5 Combine like terms: 6 + -5 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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