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Simplifying x2 + 8x + -52 = x2 + -2x + 8 Reorder the terms: -52 + 8x + x2 = x2 + -2x + 8 Reorder the terms: -52 + 8x + x2 = 8 + -2x + x2 Add '-1x2' to each side of the equation. -52 + 8x + x2 + -1x2 = 8 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -52 + 8x + 0 = 8 + -2x + x2 + -1x2 -52 + 8x = 8 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -52 + 8x = 8 + -2x + 0 -52 + 8x = 8 + -2x Solving -52 + 8x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -52 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x -52 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -52 + 10x = 8 + 0 -52 + 10x = 8 Add '52' to each side of the equation. -52 + 52 + 10x = 8 + 52 Combine like terms: -52 + 52 = 0 0 + 10x = 8 + 52 10x = 8 + 52 Combine like terms: 8 + 52 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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