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Simplifying x * 6 + 46 = x * 12 + -6 Reorder the terms for easier multiplication: 6x + 46 = x * 12 + -6 Reorder the terms: 46 + 6x = x * 12 + -6 Reorder the terms for easier multiplication: 46 + 6x = 12x + -6 Reorder the terms: 46 + 6x = -6 + 12x Solving 46 + 6x = -6 + 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 + 6x + -12x = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x 46 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -6x = -6 + 0 46 + -6x = -6 Add '-46' to each side of the equation. 46 + -46 + -6x = -6 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = -6 + -46 -6x = -6 + -46 Combine like terms: -6 + -46 = -52 -6x = -52 Divide each side by '-6'. x = 8.666666667 Simplifying x = 8.666666667
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