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Simplifying x(5 + x) = x2 + 3x + 1 (5 * x + x * x) = x2 + 3x + 1 (5x + x2) = x2 + 3x + 1 Reorder the terms: 5x + x2 = 1 + 3x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 1 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 1 + 3x + x2 + -1x2 5x = 1 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 1 + 3x + 0 5x = 1 + 3x Solving 5x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 2x = 1 + 0 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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