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Simplifying x2 + 4x = x2 + 2x + 1 Reorder the terms: 4x + x2 = x2 + 2x + 1 Reorder the terms: 4x + x2 = 1 + 2x + x2 Add '-1x2' to each side of the equation. 4x + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x + 0 = 1 + 2x + x2 + -1x2 4x = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x = 1 + 2x + 0 4x = 1 + 2x Solving 4x = 1 + 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. 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 1 + 0 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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