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Simplifying 4(3x + 6) = 46 + 34 Reorder the terms: 4(6 + 3x) = 46 + 34 (6 * 4 + 3x * 4) = 46 + 34 (24 + 12x) = 46 + 34 Combine like terms: 46 + 34 = 80 24 + 12x = 80 Solving 24 + 12x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12x = 80 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 80 + -24 12x = 80 + -24 Combine like terms: 80 + -24 = 56 12x = 56 Divide each side by '12'. x = 4.666666667 Simplifying x = 4.666666667
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