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Simplifying x2 + 2x + 11 = x2 + 7x + 11 Reorder the terms: 11 + 2x + x2 = x2 + 7x + 11 Reorder the terms: 11 + 2x + x2 = 11 + 7x + x2 Add '-11' to each side of the equation. 11 + 2x + -11 + x2 = 11 + 7x + -11 + x2 Reorder the terms: 11 + -11 + 2x + x2 = 11 + 7x + -11 + x2 Combine like terms: 11 + -11 = 0 0 + 2x + x2 = 11 + 7x + -11 + x2 2x + x2 = 11 + 7x + -11 + x2 Reorder the terms: 2x + x2 = 11 + -11 + 7x + x2 Combine like terms: 11 + -11 = 0 2x + x2 = 0 + 7x + x2 2x + x2 = 7x + x2 Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = 7x + x2 + -1x2 2x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = 7x + 0 2x = 7x Solving 2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x -5x = 7x + -7x Combine like terms: 7x + -7x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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