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Simplifying 2(5 + -3X) + 2 = 3X + -6 (5 * 2 + -3X * 2) + 2 = 3X + -6 (10 + -6X) + 2 = 3X + -6 Reorder the terms: 10 + 2 + -6X = 3X + -6 Combine like terms: 10 + 2 = 12 12 + -6X = 3X + -6 Reorder the terms: 12 + -6X = -6 + 3X Solving 12 + -6X = -6 + 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. 12 + -6X + -3X = -6 + 3X + -3X Combine like terms: -6X + -3X = -9X 12 + -9X = -6 + 3X + -3X Combine like terms: 3X + -3X = 0 12 + -9X = -6 + 0 12 + -9X = -6 Add '-12' to each side of the equation. 12 + -12 + -9X = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9X = -6 + -12 -9X = -6 + -12 Combine like terms: -6 + -12 = -18 -9X = -18 Divide each side by '-9'. X = 2 Simplifying X = 2
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