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Simplifying x(x + -5) = 8 + x(x + -3) Reorder the terms: x(-5 + x) = 8 + x(x + -3) (-5 * x + x * x) = 8 + x(x + -3) (-5x + x2) = 8 + x(x + -3) Reorder the terms: -5x + x2 = 8 + x(-3 + x) -5x + x2 = 8 + (-3 * x + x * x) -5x + x2 = 8 + (-3x + x2) Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 8 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 8 + -3x + x2 + -1x2 -5x = 8 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 8 + -3x + 0 -5x = 8 + -3x Solving -5x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5x + 3x = 8 + -3x + 3x Combine like terms: -5x + 3x = -2x -2x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -2x = 8 + 0 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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