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Simplifying x(x + -2) + -2(x + 2) = x2 + 4 Reorder the terms: x(-2 + x) + -2(x + 2) = x2 + 4 (-2 * x + x * x) + -2(x + 2) = x2 + 4 (-2x + x2) + -2(x + 2) = x2 + 4 Reorder the terms: -2x + x2 + -2(2 + x) = x2 + 4 -2x + x2 + (2 * -2 + x * -2) = x2 + 4 -2x + x2 + (-4 + -2x) = x2 + 4 Reorder the terms: -4 + -2x + -2x + x2 = x2 + 4 Combine like terms: -2x + -2x = -4x -4 + -4x + x2 = x2 + 4 Reorder the terms: -4 + -4x + x2 = 4 + x2 Add '-1x2' to each side of the equation. -4 + -4x + x2 + -1x2 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -4x + 0 = 4 + x2 + -1x2 -4 + -4x = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -4x = 4 + 0 -4 + -4x = 4 Solving -4 + -4x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 4 + 4 -4x = 4 + 4 Combine like terms: 4 + 4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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