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Simplifying 2(3x + 4) = 74 Reorder the terms: 2(4 + 3x) = 74 (4 * 2 + 3x * 2) = 74 (8 + 6x) = 74 Solving 8 + 6x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 74 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 74 + -8 6x = 74 + -8 Combine like terms: 74 + -8 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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