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