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Simplifying x(x + -3) = x(x + -5) + 18 Reorder the terms: x(-3 + x) = x(x + -5) + 18 (-3 * x + x * x) = x(x + -5) + 18 (-3x + x2) = x(x + -5) + 18 Reorder the terms: -3x + x2 = x(-5 + x) + 18 -3x + x2 = (-5 * x + x * x) + 18 -3x + x2 = (-5x + x2) + 18 Reorder the terms: -3x + x2 = 18 + -5x + x2 Add '-1x2' to each side of the equation. -3x + x2 + -1x2 = 18 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x + 0 = 18 + -5x + x2 + -1x2 -3x = 18 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x = 18 + -5x + 0 -3x = 18 + -5x Solving -3x = 18 + -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 = 18 + -5x + 5x Combine like terms: -3x + 5x = 2x 2x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 2x = 18 + 0 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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