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Simplifying x2 + 2x + 1 = x2 + -1x + 16 Reorder the terms: 1 + 2x + x2 = x2 + -1x + 16 Reorder the terms: 1 + 2x + x2 = 16 + -1x + x2 Add '-1x2' to each side of the equation. 1 + 2x + x2 + -1x2 = 16 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x + 0 = 16 + -1x + x2 + -1x2 1 + 2x = 16 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x = 16 + -1x + 0 1 + 2x = 16 + -1x Solving 1 + 2x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 2x + x = 16 + -1x + x Combine like terms: 2x + x = 3x 1 + 3x = 16 + -1x + x Combine like terms: -1x + x = 0 1 + 3x = 16 + 0 1 + 3x = 16 Add '-1' to each side of the equation. 1 + -1 + 3x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 16 + -1 3x = 16 + -1 Combine like terms: 16 + -1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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