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Simplifying 5(x + 3)(x + -3) = 5x(x + -1) Reorder the terms: 5(3 + x)(x + -3) = 5x(x + -1) Reorder the terms: 5(3 + x)(-3 + x) = 5x(x + -1) Multiply (3 + x) * (-3 + x) 5(3(-3 + x) + x(-3 + x)) = 5x(x + -1) 5((-3 * 3 + x * 3) + x(-3 + x)) = 5x(x + -1) 5((-9 + 3x) + x(-3 + x)) = 5x(x + -1) 5(-9 + 3x + (-3 * x + x * x)) = 5x(x + -1) 5(-9 + 3x + (-3x + x2)) = 5x(x + -1) Combine like terms: 3x + -3x = 0 5(-9 + 0 + x2) = 5x(x + -1) 5(-9 + x2) = 5x(x + -1) (-9 * 5 + x2 * 5) = 5x(x + -1) (-45 + 5x2) = 5x(x + -1) Reorder the terms: -45 + 5x2 = 5x(-1 + x) -45 + 5x2 = (-1 * 5x + x * 5x) -45 + 5x2 = (-5x + 5x2) Add '-5x2' to each side of the equation. -45 + 5x2 + -5x2 = -5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -45 + 0 = -5x + 5x2 + -5x2 -45 = -5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -45 = -5x + 0 -45 = -5x Solving -45 = -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. -45 + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -45 + 5x = 0 Add '45' to each side of the equation. -45 + 45 + 5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 0 + 45 5x = 0 + 45 Combine like terms: 0 + 45 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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