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Simplifying x2 + -8x + 21 = x2 + -8 + 3x + -16 Reorder the terms: 21 + -8x + x2 = x2 + -8 + 3x + -16 Reorder the terms: 21 + -8x + x2 = -8 + -16 + 3x + x2 Combine like terms: -8 + -16 = -24 21 + -8x + x2 = -24 + 3x + x2 Add '-1x2' to each side of the equation. 21 + -8x + x2 + -1x2 = -24 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 21 + -8x + 0 = -24 + 3x + x2 + -1x2 21 + -8x = -24 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 21 + -8x = -24 + 3x + 0 21 + -8x = -24 + 3x Solving 21 + -8x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -8x + -3x = -24 + 3x + -3x Combine like terms: -8x + -3x = -11x 21 + -11x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -11x = -24 + 0 21 + -11x = -24 Add '-21' to each side of the equation. 21 + -21 + -11x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = -24 + -21 -11x = -24 + -21 Combine like terms: -24 + -21 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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