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Simplifying x(3x + -7) = (3x + 5)(x + -9) Reorder the terms: x(-7 + 3x) = (3x + 5)(x + -9) (-7 * x + 3x * x) = (3x + 5)(x + -9) (-7x + 3x2) = (3x + 5)(x + -9) Reorder the terms: -7x + 3x2 = (5 + 3x)(x + -9) Reorder the terms: -7x + 3x2 = (5 + 3x)(-9 + x) Multiply (5 + 3x) * (-9 + x) -7x + 3x2 = (5(-9 + x) + 3x * (-9 + x)) -7x + 3x2 = ((-9 * 5 + x * 5) + 3x * (-9 + x)) -7x + 3x2 = ((-45 + 5x) + 3x * (-9 + x)) -7x + 3x2 = (-45 + 5x + (-9 * 3x + x * 3x)) -7x + 3x2 = (-45 + 5x + (-27x + 3x2)) Combine like terms: 5x + -27x = -22x -7x + 3x2 = (-45 + -22x + 3x2) Add '-3x2' to each side of the equation. -7x + 3x2 + -3x2 = -45 + -22x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x + 0 = -45 + -22x + 3x2 + -3x2 -7x = -45 + -22x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x = -45 + -22x + 0 -7x = -45 + -22x Solving -7x = -45 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -7x + 22x = -45 + -22x + 22x Combine like terms: -7x + 22x = 15x 15x = -45 + -22x + 22x Combine like terms: -22x + 22x = 0 15x = -45 + 0 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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