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Simplifying 2(4 + 3x) + 6 = 32 (4 * 2 + 3x * 2) + 6 = 32 (8 + 6x) + 6 = 32 Reorder the terms: 8 + 6 + 6x = 32 Combine like terms: 8 + 6 = 14 14 + 6x = 32 Solving 14 + 6x = 32 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 + 6x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 32 + -14 6x = 32 + -14 Combine like terms: 32 + -14 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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