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Simplifying 3(4x + 6) = 46 + 52 Reorder the terms: 3(6 + 4x) = 46 + 52 (6 * 3 + 4x * 3) = 46 + 52 (18 + 12x) = 46 + 52 Combine like terms: 46 + 52 = 98 18 + 12x = 98 Solving 18 + 12x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12x = 98 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 98 + -18 12x = 98 + -18 Combine like terms: 98 + -18 = 80 12x = 80 Divide each side by '12'. x = 6.666666667 Simplifying x = 6.666666667
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