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Simplifying x2 + 2x + 1 = x2 + 49 Reorder the terms: 1 + 2x + x2 = x2 + 49 Reorder the terms: 1 + 2x + x2 = 49 + x2 Add '-1x2' to each side of the equation. 1 + 2x + x2 + -1x2 = 49 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x + 0 = 49 + x2 + -1x2 1 + 2x = 49 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x = 49 + 0 1 + 2x = 49 Solving 1 + 2x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 49 + -1 2x = 49 + -1 Combine like terms: 49 + -1 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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