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Simplifying x2 + -1x + -6 = x2 + 8x + 16 Reorder the terms: -6 + -1x + x2 = x2 + 8x + 16 Reorder the terms: -6 + -1x + x2 = 16 + 8x + x2 Add '-1x2' to each side of the equation. -6 + -1x + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x + 0 = 16 + 8x + x2 + -1x2 -6 + -1x = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x = 16 + 8x + 0 -6 + -1x = 16 + 8x Solving -6 + -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. -6 + -1x + -8x = 16 + 8x + -8x Combine like terms: -1x + -8x = -9x -6 + -9x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -9x = 16 + 0 -6 + -9x = 16 Add '6' to each side of the equation. -6 + 6 + -9x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 16 + 6 -9x = 16 + 6 Combine like terms: 16 + 6 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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