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Simplifying x2 + x + -12 = x2 + -8x + 6 Reorder the terms: -12 + x + x2 = x2 + -8x + 6 Reorder the terms: -12 + x + x2 = 6 + -8x + x2 Add '-1x2' to each side of the equation. -12 + x + x2 + -1x2 = 6 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + x + 0 = 6 + -8x + x2 + -1x2 -12 + x = 6 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + x = 6 + -8x + 0 -12 + x = 6 + -8x Solving -12 + x = 6 + -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. -12 + x + 8x = 6 + -8x + 8x Combine like terms: x + 8x = 9x -12 + 9x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 9x = 6 + 0 -12 + 9x = 6 Add '12' to each side of the equation. -12 + 12 + 9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 6 + 12 9x = 6 + 12 Combine like terms: 6 + 12 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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