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Simplifying x(3x + -9) = (3x + 9)(x + -5) Reorder the terms: x(-9 + 3x) = (3x + 9)(x + -5) (-9 * x + 3x * x) = (3x + 9)(x + -5) (-9x + 3x2) = (3x + 9)(x + -5) Reorder the terms: -9x + 3x2 = (9 + 3x)(x + -5) Reorder the terms: -9x + 3x2 = (9 + 3x)(-5 + x) Multiply (9 + 3x) * (-5 + x) -9x + 3x2 = (9(-5 + x) + 3x * (-5 + x)) -9x + 3x2 = ((-5 * 9 + x * 9) + 3x * (-5 + x)) -9x + 3x2 = ((-45 + 9x) + 3x * (-5 + x)) -9x + 3x2 = (-45 + 9x + (-5 * 3x + x * 3x)) -9x + 3x2 = (-45 + 9x + (-15x + 3x2)) Combine like terms: 9x + -15x = -6x -9x + 3x2 = (-45 + -6x + 3x2) Add '-3x2' to each side of the equation. -9x + 3x2 + -3x2 = -45 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -9x + 0 = -45 + -6x + 3x2 + -3x2 -9x = -45 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -9x = -45 + -6x + 0 -9x = -45 + -6x Solving -9x = -45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9x + 6x = -45 + -6x + 6x Combine like terms: -9x + 6x = -3x -3x = -45 + -6x + 6x Combine like terms: -6x + 6x = 0 -3x = -45 + 0 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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