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Simplifying x2 + -2x + 8 = x2 + 8x + -52 Reorder the terms: 8 + -2x + x2 = x2 + 8x + -52 Reorder the terms: 8 + -2x + x2 = -52 + 8x + x2 Add '-1x2' to each side of the equation. 8 + -2x + x2 + -1x2 = -52 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -2x + 0 = -52 + 8x + x2 + -1x2 8 + -2x = -52 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -2x = -52 + 8x + 0 8 + -2x = -52 + 8x Solving 8 + -2x = -52 + 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. 8 + -2x + -8x = -52 + 8x + -8x Combine like terms: -2x + -8x = -10x 8 + -10x = -52 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -10x = -52 + 0 8 + -10x = -52 Add '-8' to each side of the equation. 8 + -8 + -10x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -52 + -8 -10x = -52 + -8 Combine like terms: -52 + -8 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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