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Simplifying x(5x + -9) = (5x + 9)(x + -3) Reorder the terms: x(-9 + 5x) = (5x + 9)(x + -3) (-9 * x + 5x * x) = (5x + 9)(x + -3) (-9x + 5x2) = (5x + 9)(x + -3) Reorder the terms: -9x + 5x2 = (9 + 5x)(x + -3) Reorder the terms: -9x + 5x2 = (9 + 5x)(-3 + x) Multiply (9 + 5x) * (-3 + x) -9x + 5x2 = (9(-3 + x) + 5x * (-3 + x)) -9x + 5x2 = ((-3 * 9 + x * 9) + 5x * (-3 + x)) -9x + 5x2 = ((-27 + 9x) + 5x * (-3 + x)) -9x + 5x2 = (-27 + 9x + (-3 * 5x + x * 5x)) -9x + 5x2 = (-27 + 9x + (-15x + 5x2)) Combine like terms: 9x + -15x = -6x -9x + 5x2 = (-27 + -6x + 5x2) Add '-5x2' to each side of the equation. -9x + 5x2 + -5x2 = -27 + -6x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x + 0 = -27 + -6x + 5x2 + -5x2 -9x = -27 + -6x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x = -27 + -6x + 0 -9x = -27 + -6x Solving -9x = -27 + -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 = -27 + -6x + 6x Combine like terms: -9x + 6x = -3x -3x = -27 + -6x + 6x Combine like terms: -6x + 6x = 0 -3x = -27 + 0 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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