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Simplifying x(x + 4) = x(x) + 12 Reorder the terms: x(4 + x) = x(x) + 12 (4 * x + x * x) = x(x) + 12 (4x + x2) = x(x) + 12 Multiply x * x 4x + x2 = x2 + 12 Reorder the terms: 4x + x2 = 12 + x2 Add '-1x2' to each side of the equation. 4x + x2 + -1x2 = 12 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x + 0 = 12 + x2 + -1x2 4x = 12 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x = 12 + 0 4x = 12 Solving 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 3 Simplifying x = 3
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