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Simplifying 2(3X + 5) + -6 = 3X + -8 Reorder the terms: 2(5 + 3X) + -6 = 3X + -8 (5 * 2 + 3X * 2) + -6 = 3X + -8 (10 + 6X) + -6 = 3X + -8 Reorder the terms: 10 + -6 + 6X = 3X + -8 Combine like terms: 10 + -6 = 4 4 + 6X = 3X + -8 Reorder the terms: 4 + 6X = -8 + 3X Solving 4 + 6X = -8 + 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. 4 + 6X + -3X = -8 + 3X + -3X Combine like terms: 6X + -3X = 3X 4 + 3X = -8 + 3X + -3X Combine like terms: 3X + -3X = 0 4 + 3X = -8 + 0 4 + 3X = -8 Add '-4' to each side of the equation. 4 + -4 + 3X = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = -8 + -4 3X = -8 + -4 Combine like terms: -8 + -4 = -12 3X = -12 Divide each side by '3'. X = -4 Simplifying X = -4
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