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Simplifying 12x + 6 = 46 + -8x Reorder the terms: 6 + 12x = 46 + -8x Solving 6 + 12x = 46 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 12x + 8x = 46 + -8x + 8x Combine like terms: 12x + 8x = 20x 6 + 20x = 46 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 20x = 46 + 0 6 + 20x = 46 Add '-6' to each side of the equation. 6 + -6 + 20x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = 46 + -6 20x = 46 + -6 Combine like terms: 46 + -6 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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