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Simplifying x2 + 5x + 1 = x2 + 2x + 1 Reorder the terms: 1 + 5x + x2 = x2 + 2x + 1 Reorder the terms: 1 + 5x + x2 = 1 + 2x + x2 Add '-1' to each side of the equation. 1 + 5x + -1 + x2 = 1 + 2x + -1 + x2 Reorder the terms: 1 + -1 + 5x + x2 = 1 + 2x + -1 + x2 Combine like terms: 1 + -1 = 0 0 + 5x + x2 = 1 + 2x + -1 + x2 5x + x2 = 1 + 2x + -1 + x2 Reorder the terms: 5x + x2 = 1 + -1 + 2x + x2 Combine like terms: 1 + -1 = 0 5x + x2 = 0 + 2x + x2 5x + x2 = 2x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 2x + x2 + -1x2 5x = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 2x + 0 5x = 2x Solving 5x = 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. 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x 3x = 2x + -2x Combine like terms: 2x + -2x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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