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Simplifying x(x + 1) + -1x(x + 2) + 3x = 6 Reorder the terms: x(1 + x) + -1x(x + 2) + 3x = 6 (1 * x + x * x) + -1x(x + 2) + 3x = 6 (1x + x2) + -1x(x + 2) + 3x = 6 Reorder the terms: 1x + x2 + -1x(2 + x) + 3x = 6 1x + x2 + (2 * -1x + x * -1x) + 3x = 6 1x + x2 + (-2x + -1x2) + 3x = 6 Reorder the terms: 1x + -2x + 3x + x2 + -1x2 = 6 Combine like terms: 1x + -2x = -1x -1x + 3x + x2 + -1x2 = 6 Combine like terms: -1x + 3x = 2x 2x + x2 + -1x2 = 6 Combine like terms: x2 + -1x2 = 0 2x + 0 = 6 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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