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Simplifying 15 + -6(X + -2X + -4) = 8 + 2X + -2(5X + -1) Reorder the terms: 15 + -6(-4 + X + -2X) = 8 + 2X + -2(5X + -1) Combine like terms: X + -2X = -1X 15 + -6(-4 + -1X) = 8 + 2X + -2(5X + -1) 15 + (-4 * -6 + -1X * -6) = 8 + 2X + -2(5X + -1) 15 + (24 + 6X) = 8 + 2X + -2(5X + -1) Combine like terms: 15 + 24 = 39 39 + 6X = 8 + 2X + -2(5X + -1) Reorder the terms: 39 + 6X = 8 + 2X + -2(-1 + 5X) 39 + 6X = 8 + 2X + (-1 * -2 + 5X * -2) 39 + 6X = 8 + 2X + (2 + -10X) Reorder the terms: 39 + 6X = 8 + 2 + 2X + -10X Combine like terms: 8 + 2 = 10 39 + 6X = 10 + 2X + -10X Combine like terms: 2X + -10X = -8X 39 + 6X = 10 + -8X Solving 39 + 6X = 10 + -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. 39 + 6X + 8X = 10 + -8X + 8X Combine like terms: 6X + 8X = 14X 39 + 14X = 10 + -8X + 8X Combine like terms: -8X + 8X = 0 39 + 14X = 10 + 0 39 + 14X = 10 Add '-39' to each side of the equation. 39 + -39 + 14X = 10 + -39 Combine like terms: 39 + -39 = 0 0 + 14X = 10 + -39 14X = 10 + -39 Combine like terms: 10 + -39 = -29 14X = -29 Divide each side by '14'. X = -2.071428571 Simplifying X = -2.071428571
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