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Simplifying 6(X + 6) = 2(X + 34) Reorder the terms: 6(6 + X) = 2(X + 34) (6 * 6 + X * 6) = 2(X + 34) (36 + 6X) = 2(X + 34) Reorder the terms: 36 + 6X = 2(34 + X) 36 + 6X = (34 * 2 + X * 2) 36 + 6X = (68 + 2X) Solving 36 + 6X = 68 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 36 + 6X + -2X = 68 + 2X + -2X Combine like terms: 6X + -2X = 4X 36 + 4X = 68 + 2X + -2X Combine like terms: 2X + -2X = 0 36 + 4X = 68 + 0 36 + 4X = 68 Add '-36' to each side of the equation. 36 + -36 + 4X = 68 + -36 Combine like terms: 36 + -36 = 0 0 + 4X = 68 + -36 4X = 68 + -36 Combine like terms: 68 + -36 = 32 4X = 32 Divide each side by '4'. X = 8 Simplifying X = 8
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