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Simplifying x(9x + -8) = (9x + 8)(x + -2) Reorder the terms: x(-8 + 9x) = (9x + 8)(x + -2) (-8 * x + 9x * x) = (9x + 8)(x + -2) (-8x + 9x2) = (9x + 8)(x + -2) Reorder the terms: -8x + 9x2 = (8 + 9x)(x + -2) Reorder the terms: -8x + 9x2 = (8 + 9x)(-2 + x) Multiply (8 + 9x) * (-2 + x) -8x + 9x2 = (8(-2 + x) + 9x * (-2 + x)) -8x + 9x2 = ((-2 * 8 + x * 8) + 9x * (-2 + x)) -8x + 9x2 = ((-16 + 8x) + 9x * (-2 + x)) -8x + 9x2 = (-16 + 8x + (-2 * 9x + x * 9x)) -8x + 9x2 = (-16 + 8x + (-18x + 9x2)) Combine like terms: 8x + -18x = -10x -8x + 9x2 = (-16 + -10x + 9x2) Add '-9x2' to each side of the equation. -8x + 9x2 + -9x2 = -16 + -10x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -8x + 0 = -16 + -10x + 9x2 + -9x2 -8x = -16 + -10x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -8x = -16 + -10x + 0 -8x = -16 + -10x Solving -8x = -16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8x + 10x = -16 + -10x + 10x Combine like terms: -8x + 10x = 2x 2x = -16 + -10x + 10x Combine like terms: -10x + 10x = 0 2x = -16 + 0 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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