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Simplifying 2(1 + 6X) = 32 + 6X (1 * 2 + 6X * 2) = 32 + 6X (2 + 12X) = 32 + 6X Solving 2 + 12X = 32 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 2 + 12X + -6X = 32 + 6X + -6X Combine like terms: 12X + -6X = 6X 2 + 6X = 32 + 6X + -6X Combine like terms: 6X + -6X = 0 2 + 6X = 32 + 0 2 + 6X = 32 Add '-2' to each side of the equation. 2 + -2 + 6X = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6X = 32 + -2 6X = 32 + -2 Combine like terms: 32 + -2 = 30 6X = 30 Divide each side by '6'. X = 5 Simplifying X = 5
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