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Simplifying 2(2x + 1) + 2(6) = 51 Reorder the terms: 2(1 + 2x) + 2(6) = 51 (1 * 2 + 2x * 2) + 2(6) = 51 (2 + 4x) + 2(6) = 51 Multiply 2 * 6 2 + 4x + 12 = 51 Reorder the terms: 2 + 12 + 4x = 51 Combine like terms: 2 + 12 = 14 14 + 4x = 51 Solving 14 + 4x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 51 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 51 + -14 4x = 51 + -14 Combine like terms: 51 + -14 = 37 4x = 37 Divide each side by '4'. x = 9.25 Simplifying x = 9.25
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