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Simplifying x2 + -5x + 2 = x2 + x + 8 Reorder the terms: 2 + -5x + x2 = x2 + x + 8 Reorder the terms: 2 + -5x + x2 = 8 + x + x2 Add '-1x2' to each side of the equation. 2 + -5x + x2 + -1x2 = 8 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -5x + 0 = 8 + x + x2 + -1x2 2 + -5x = 8 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -5x = 8 + x + 0 2 + -5x = 8 + x Solving 2 + -5x = 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. 2 + -5x + -1x = 8 + x + -1x Combine like terms: -5x + -1x = -6x 2 + -6x = 8 + x + -1x Combine like terms: x + -1x = 0 2 + -6x = 8 + 0 2 + -6x = 8 Add '-2' to each side of the equation. 2 + -2 + -6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 8 + -2 -6x = 8 + -2 Combine like terms: 8 + -2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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