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Simplifying 46 = 2(6x + 8) Reorder the terms: 46 = 2(8 + 6x) 46 = (8 * 2 + 6x * 2) 46 = (16 + 12x) Solving 46 = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + -12x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -12x = 16 + 0 46 + -12x = 16 Add '-46' to each side of the equation. 46 + -46 + -12x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -12x = 16 + -46 -12x = 16 + -46 Combine like terms: 16 + -46 = -30 -12x = -30 Divide each side by '-12'. x = 2.5 Simplifying x = 2.5
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