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Simplifying 3(2x + 5) = 46 Reorder the terms: 3(5 + 2x) = 46 (5 * 3 + 2x * 3) = 46 (15 + 6x) = 46 Solving 15 + 6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 46 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 46 + -15 6x = 46 + -15 Combine like terms: 46 + -15 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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