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Simplifying 2x(x + 1) = 2x2 + 6 Reorder the terms: 2x(1 + x) = 2x2 + 6 (1 * 2x + x * 2x) = 2x2 + 6 (2x + 2x2) = 2x2 + 6 Reorder the terms: 2x + 2x2 = 6 + 2x2 Add '-2x2' to each side of the equation. 2x + 2x2 + -2x2 = 6 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2x + 0 = 6 + 2x2 + -2x2 2x = 6 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2x = 6 + 0 2x = 6 Solving 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 3 Simplifying x = 3
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