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Simplifying x(x + -4) + -4 = x2 + -16 Reorder the terms: x(-4 + x) + -4 = x2 + -16 (-4 * x + x * x) + -4 = x2 + -16 (-4x + x2) + -4 = x2 + -16 Reorder the terms: -4 + -4x + x2 = x2 + -16 Reorder the terms: -4 + -4x + x2 = -16 + x2 Add '-1x2' to each side of the equation. -4 + -4x + x2 + -1x2 = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -4x + 0 = -16 + x2 + -1x2 -4 + -4x = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -4x = -16 + 0 -4 + -4x = -16 Solving -4 + -4x = -16 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 = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -16 + 4 -4x = -16 + 4 Combine like terms: -16 + 4 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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