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Simplifying x(x + -5) = x2 + -11x + 30 Reorder the terms: x(-5 + x) = x2 + -11x + 30 (-5 * x + x * x) = x2 + -11x + 30 (-5x + x2) = x2 + -11x + 30 Reorder the terms: -5x + x2 = 30 + -11x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 30 + -11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 30 + -11x + x2 + -1x2 -5x = 30 + -11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 30 + -11x + 0 -5x = 30 + -11x Solving -5x = 30 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -5x + 11x = 30 + -11x + 11x Combine like terms: -5x + 11x = 6x 6x = 30 + -11x + 11x Combine like terms: -11x + 11x = 0 6x = 30 + 0 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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