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Simplifying x(9x + -9) = (9x + 9)(x + -4) Reorder the terms: x(-9 + 9x) = (9x + 9)(x + -4) (-9 * x + 9x * x) = (9x + 9)(x + -4) (-9x + 9x2) = (9x + 9)(x + -4) Reorder the terms: -9x + 9x2 = (9 + 9x)(x + -4) Reorder the terms: -9x + 9x2 = (9 + 9x)(-4 + x) Multiply (9 + 9x) * (-4 + x) -9x + 9x2 = (9(-4 + x) + 9x * (-4 + x)) -9x + 9x2 = ((-4 * 9 + x * 9) + 9x * (-4 + x)) -9x + 9x2 = ((-36 + 9x) + 9x * (-4 + x)) -9x + 9x2 = (-36 + 9x + (-4 * 9x + x * 9x)) -9x + 9x2 = (-36 + 9x + (-36x + 9x2)) Combine like terms: 9x + -36x = -27x -9x + 9x2 = (-36 + -27x + 9x2) Add '-9x2' to each side of the equation. -9x + 9x2 + -9x2 = -36 + -27x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -9x + 0 = -36 + -27x + 9x2 + -9x2 -9x = -36 + -27x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -9x = -36 + -27x + 0 -9x = -36 + -27x Solving -9x = -36 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -9x + 27x = -36 + -27x + 27x Combine like terms: -9x + 27x = 18x 18x = -36 + -27x + 27x Combine like terms: -27x + 27x = 0 18x = -36 + 0 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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