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Simplifying 49 + x2 = (x + -1)(x + -1) Reorder the terms: 49 + x2 = (-1 + x)(x + -1) Reorder the terms: 49 + x2 = (-1 + x)(-1 + x) Multiply (-1 + x) * (-1 + x) 49 + x2 = (-1(-1 + x) + x(-1 + x)) 49 + x2 = ((-1 * -1 + x * -1) + x(-1 + x)) 49 + x2 = ((1 + -1x) + x(-1 + x)) 49 + x2 = (1 + -1x + (-1 * x + x * x)) 49 + x2 = (1 + -1x + (-1x + x2)) Combine like terms: -1x + -1x = -2x 49 + x2 = (1 + -2x + x2) Add '-1x2' to each side of the equation. 49 + x2 + -1x2 = 1 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 0 = 1 + -2x + x2 + -1x2 49 = 1 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 = 1 + -2x + 0 49 = 1 + -2x Solving 49 = 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. 49 + 2x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 49 + 2x = 1 + 0 49 + 2x = 1 Add '-49' to each side of the equation. 49 + -49 + 2x = 1 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 1 + -49 2x = 1 + -49 Combine like terms: 1 + -49 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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