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Simplifying 3X + -5 + -1(4X + -7) = 8X + -6 Reorder the terms: 3X + -5 + -1(-7 + 4X) = 8X + -6 3X + -5 + (-7 * -1 + 4X * -1) = 8X + -6 3X + -5 + (7 + -4X) = 8X + -6 Reorder the terms: -5 + 7 + 3X + -4X = 8X + -6 Combine like terms: -5 + 7 = 2 2 + 3X + -4X = 8X + -6 Combine like terms: 3X + -4X = -1X 2 + -1X = 8X + -6 Reorder the terms: 2 + -1X = -6 + 8X Solving 2 + -1X = -6 + 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. 2 + -1X + -8X = -6 + 8X + -8X Combine like terms: -1X + -8X = -9X 2 + -9X = -6 + 8X + -8X Combine like terms: 8X + -8X = 0 2 + -9X = -6 + 0 2 + -9X = -6 Add '-2' to each side of the equation. 2 + -2 + -9X = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -9X = -6 + -2 -9X = -6 + -2 Combine like terms: -6 + -2 = -8 -9X = -8 Divide each side by '-9'. X = 0.8888888889 Simplifying X = 0.8888888889
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