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Simplifying x(x + 2) = x(x + 4) + -12 Reorder the terms: x(2 + x) = x(x + 4) + -12 (2 * x + x * x) = x(x + 4) + -12 (2x + x2) = x(x + 4) + -12 Reorder the terms: 2x + x2 = x(4 + x) + -12 2x + x2 = (4 * x + x * x) + -12 2x + x2 = (4x + x2) + -12 Reorder the terms: 2x + x2 = -12 + 4x + x2 Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = -12 + 4x + x2 + -1x2 2x = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = -12 + 4x + 0 2x = -12 + 4x Solving 2x = -12 + 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. 2x + -4x = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -2x = -12 + 0 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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