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Simplifying 9(X + -1) + X = 8(3 + -1X) + -6 Reorder the terms: 9(-1 + X) + X = 8(3 + -1X) + -6 (-1 * 9 + X * 9) + X = 8(3 + -1X) + -6 (-9 + 9X) + X = 8(3 + -1X) + -6 Combine like terms: 9X + X = 10X -9 + 10X = 8(3 + -1X) + -6 -9 + 10X = (3 * 8 + -1X * 8) + -6 -9 + 10X = (24 + -8X) + -6 Reorder the terms: -9 + 10X = 24 + -6 + -8X Combine like terms: 24 + -6 = 18 -9 + 10X = 18 + -8X Solving -9 + 10X = 18 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. -9 + 10X + 8X = 18 + -8X + 8X Combine like terms: 10X + 8X = 18X -9 + 18X = 18 + -8X + 8X Combine like terms: -8X + 8X = 0 -9 + 18X = 18 + 0 -9 + 18X = 18 Add '9' to each side of the equation. -9 + 9 + 18X = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 18X = 18 + 9 18X = 18 + 9 Combine like terms: 18 + 9 = 27 18X = 27 Divide each side by '18'. X = 1.5 Simplifying X = 1.5
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