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Simplifying x2 + -10x + 28 = x2 + x + 8 Reorder the terms: 28 + -10x + x2 = x2 + x + 8 Reorder the terms: 28 + -10x + x2 = 8 + x + x2 Add '-1x2' to each side of the equation. 28 + -10x + x2 + -1x2 = 8 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + -10x + 0 = 8 + x + x2 + -1x2 28 + -10x = 8 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + -10x = 8 + x + 0 28 + -10x = 8 + x Solving 28 + -10x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 28 + -10x + -1x = 8 + x + -1x Combine like terms: -10x + -1x = -11x 28 + -11x = 8 + x + -1x Combine like terms: x + -1x = 0 28 + -11x = 8 + 0 28 + -11x = 8 Add '-28' to each side of the equation. 28 + -28 + -11x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 8 + -28 -11x = 8 + -28 Combine like terms: 8 + -28 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818
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