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Simplifying (x + -7)(x + -7) = (x + 8)(x + 8) + -1 Reorder the terms: (-7 + x)(x + -7) = (x + 8)(x + 8) + -1 Reorder the terms: (-7 + x)(-7 + x) = (x + 8)(x + 8) + -1 Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) = (x + 8)(x + 8) + -1 ((-7 * -7 + x * -7) + x(-7 + x)) = (x + 8)(x + 8) + -1 ((49 + -7x) + x(-7 + x)) = (x + 8)(x + 8) + -1 (49 + -7x + (-7 * x + x * x)) = (x + 8)(x + 8) + -1 (49 + -7x + (-7x + x2)) = (x + 8)(x + 8) + -1 Combine like terms: -7x + -7x = -14x (49 + -14x + x2) = (x + 8)(x + 8) + -1 Reorder the terms: 49 + -14x + x2 = (8 + x)(x + 8) + -1 Reorder the terms: 49 + -14x + x2 = (8 + x)(8 + x) + -1 Multiply (8 + x) * (8 + x) 49 + -14x + x2 = (8(8 + x) + x(8 + x)) + -1 49 + -14x + x2 = ((8 * 8 + x * 8) + x(8 + x)) + -1 49 + -14x + x2 = ((64 + 8x) + x(8 + x)) + -1 49 + -14x + x2 = (64 + 8x + (8 * x + x * x)) + -1 49 + -14x + x2 = (64 + 8x + (8x + x2)) + -1 Combine like terms: 8x + 8x = 16x 49 + -14x + x2 = (64 + 16x + x2) + -1 Reorder the terms: 49 + -14x + x2 = 64 + -1 + 16x + x2 Combine like terms: 64 + -1 = 63 49 + -14x + x2 = 63 + 16x + x2 Add '-1x2' to each side of the equation. 49 + -14x + x2 + -1x2 = 63 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + -14x + 0 = 63 + 16x + x2 + -1x2 49 + -14x = 63 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + -14x = 63 + 16x + 0 49 + -14x = 63 + 16x Solving 49 + -14x = 63 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 49 + -14x + -16x = 63 + 16x + -16x Combine like terms: -14x + -16x = -30x 49 + -30x = 63 + 16x + -16x Combine like terms: 16x + -16x = 0 49 + -30x = 63 + 0 49 + -30x = 63 Add '-49' to each side of the equation. 49 + -49 + -30x = 63 + -49 Combine like terms: 49 + -49 = 0 0 + -30x = 63 + -49 -30x = 63 + -49 Combine like terms: 63 + -49 = 14 -30x = 14 Divide each side by '-30'. x = -0.4666666667 Simplifying x = -0.4666666667
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