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Simplifying x(x + 3) = x(5 + x) + 16 Reorder the terms: x(3 + x) = x(5 + x) + 16 (3 * x + x * x) = x(5 + x) + 16 (3x + x2) = x(5 + x) + 16 3x + x2 = (5 * x + x * x) + 16 3x + x2 = (5x + x2) + 16 Reorder the terms: 3x + x2 = 16 + 5x + x2 Add '-1x2' to each side of the equation. 3x + x2 + -1x2 = 16 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x + 0 = 16 + 5x + x2 + -1x2 3x = 16 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x = 16 + 5x + 0 3x = 16 + 5x Solving 3x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + -5x = 16 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 16 + 0 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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