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Simplifying 2(3x + 8) = 50 + 12 Reorder the terms: 2(8 + 3x) = 50 + 12 (8 * 2 + 3x * 2) = 50 + 12 (16 + 6x) = 50 + 12 Combine like terms: 50 + 12 = 62 16 + 6x = 62 Solving 16 + 6x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 62 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 62 + -16 6x = 62 + -16 Combine like terms: 62 + -16 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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