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Simplifying x(3x + -9) = (3x + 7)(x + -5) Reorder the terms: x(-9 + 3x) = (3x + 7)(x + -5) (-9 * x + 3x * x) = (3x + 7)(x + -5) (-9x + 3x2) = (3x + 7)(x + -5) Reorder the terms: -9x + 3x2 = (7 + 3x)(x + -5) Reorder the terms: -9x + 3x2 = (7 + 3x)(-5 + x) Multiply (7 + 3x) * (-5 + x) -9x + 3x2 = (7(-5 + x) + 3x * (-5 + x)) -9x + 3x2 = ((-5 * 7 + x * 7) + 3x * (-5 + x)) -9x + 3x2 = ((-35 + 7x) + 3x * (-5 + x)) -9x + 3x2 = (-35 + 7x + (-5 * 3x + x * 3x)) -9x + 3x2 = (-35 + 7x + (-15x + 3x2)) Combine like terms: 7x + -15x = -8x -9x + 3x2 = (-35 + -8x + 3x2) Add '-3x2' to each side of the equation. -9x + 3x2 + -3x2 = -35 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -9x + 0 = -35 + -8x + 3x2 + -3x2 -9x = -35 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -9x = -35 + -8x + 0 -9x = -35 + -8x Solving -9x = -35 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9x + 8x = -35 + -8x + 8x Combine like terms: -9x + 8x = -1x -1x = -35 + -8x + 8x Combine like terms: -8x + 8x = 0 -1x = -35 + 0 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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