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Simplifying x2 + -1x + -7 = x2 + 8x + 16 Reorder the terms: -7 + -1x + x2 = x2 + 8x + 16 Reorder the terms: -7 + -1x + x2 = 16 + 8x + x2 Add '-1x2' to each side of the equation. -7 + -1x + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -1x + 0 = 16 + 8x + x2 + -1x2 -7 + -1x = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -1x = 16 + 8x + 0 -7 + -1x = 16 + 8x Solving -7 + -1x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + -1x + -8x = 16 + 8x + -8x Combine like terms: -1x + -8x = -9x -7 + -9x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -9x = 16 + 0 -7 + -9x = 16 Add '7' to each side of the equation. -7 + 7 + -9x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 16 + 7 -9x = 16 + 7 Combine like terms: 16 + 7 = 23 -9x = 23 Divide each side by '-9'. x = -2.555555556 Simplifying x = -2.555555556
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