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Simplifying x2 + 3x = (x + 3)(x + 1) Reorder the terms: 3x + x2 = (x + 3)(x + 1) Reorder the terms: 3x + x2 = (3 + x)(x + 1) Reorder the terms: 3x + x2 = (3 + x)(1 + x) Multiply (3 + x) * (1 + x) 3x + x2 = (3(1 + x) + x(1 + x)) 3x + x2 = ((1 * 3 + x * 3) + x(1 + x)) 3x + x2 = ((3 + 3x) + x(1 + x)) 3x + x2 = (3 + 3x + (1 * x + x * x)) 3x + x2 = (3 + 3x + (1x + x2)) Combine like terms: 3x + 1x = 4x 3x + x2 = (3 + 4x + x2) Add '-1x2' to each side of the equation. 3x + x2 + -1x2 = 3 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x + 0 = 3 + 4x + x2 + -1x2 3x = 3 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x = 3 + 4x + 0 3x = 3 + 4x Solving 3x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 3 + 0 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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