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Simplifying x2 + 8x + 11 = x2 + 5x + 11 Reorder the terms: 11 + 8x + x2 = x2 + 5x + 11 Reorder the terms: 11 + 8x + x2 = 11 + 5x + x2 Add '-11' to each side of the equation. 11 + 8x + -11 + x2 = 11 + 5x + -11 + x2 Reorder the terms: 11 + -11 + 8x + x2 = 11 + 5x + -11 + x2 Combine like terms: 11 + -11 = 0 0 + 8x + x2 = 11 + 5x + -11 + x2 8x + x2 = 11 + 5x + -11 + x2 Reorder the terms: 8x + x2 = 11 + -11 + 5x + x2 Combine like terms: 11 + -11 = 0 8x + x2 = 0 + 5x + x2 8x + x2 = 5x + x2 Add '-1x2' to each side of the equation. 8x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x + 0 = 5x + x2 + -1x2 8x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x = 5x + 0 8x = 5x Solving 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 3x = 5x + -5x Combine like terms: 5x + -5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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