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Simplifying x(x + -7) = x2 + 5x + -96 Reorder the terms: x(-7 + x) = x2 + 5x + -96 (-7 * x + x * x) = x2 + 5x + -96 (-7x + x2) = x2 + 5x + -96 Reorder the terms: -7x + x2 = -96 + 5x + x2 Add '-1x2' to each side of the equation. -7x + x2 + -1x2 = -96 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 0 = -96 + 5x + x2 + -1x2 -7x = -96 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x = -96 + 5x + 0 -7x = -96 + 5x Solving -7x = -96 + 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. -7x + -5x = -96 + 5x + -5x Combine like terms: -7x + -5x = -12x -12x = -96 + 5x + -5x Combine like terms: 5x + -5x = 0 -12x = -96 + 0 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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