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Simplifying 2(2x + 7) = 46 Reorder the terms: 2(7 + 2x) = 46 (7 * 2 + 2x * 2) = 46 (14 + 4x) = 46 Solving 14 + 4x = 46 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 = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 46 + -14 4x = 46 + -14 Combine like terms: 46 + -14 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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