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Simplifying x(x + -3) = x(x + 5) + -16 Reorder the terms: x(-3 + x) = x(x + 5) + -16 (-3 * x + x * x) = x(x + 5) + -16 (-3x + x2) = x(x + 5) + -16 Reorder the terms: -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 = -8x -8x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -8x = -16 + 0 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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