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Simplifying x(9x + -5) = (9x + 6)(x + -1) Reorder the terms: x(-5 + 9x) = (9x + 6)(x + -1) (-5 * x + 9x * x) = (9x + 6)(x + -1) (-5x + 9x2) = (9x + 6)(x + -1) Reorder the terms: -5x + 9x2 = (6 + 9x)(x + -1) Reorder the terms: -5x + 9x2 = (6 + 9x)(-1 + x) Multiply (6 + 9x) * (-1 + x) -5x + 9x2 = (6(-1 + x) + 9x * (-1 + x)) -5x + 9x2 = ((-1 * 6 + x * 6) + 9x * (-1 + x)) -5x + 9x2 = ((-6 + 6x) + 9x * (-1 + x)) -5x + 9x2 = (-6 + 6x + (-1 * 9x + x * 9x)) -5x + 9x2 = (-6 + 6x + (-9x + 9x2)) Combine like terms: 6x + -9x = -3x -5x + 9x2 = (-6 + -3x + 9x2) Add '-9x2' to each side of the equation. -5x + 9x2 + -9x2 = -6 + -3x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -5x + 0 = -6 + -3x + 9x2 + -9x2 -5x = -6 + -3x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -5x = -6 + -3x + 0 -5x = -6 + -3x Solving -5x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5x + 3x = -6 + -3x + 3x Combine like terms: -5x + 3x = -2x -2x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2x = -6 + 0 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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