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Simplifying 46 + 6x = 2(6x + -13) Reorder the terms: 46 + 6x = 2(-13 + 6x) 46 + 6x = (-13 * 2 + 6x * 2) 46 + 6x = (-26 + 12x) Solving 46 + 6x = -26 + 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 = -26 + 12x + -12x Combine like terms: 6x + -12x = -6x 46 + -6x = -26 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -6x = -26 + 0 46 + -6x = -26 Add '-46' to each side of the equation. 46 + -46 + -6x = -26 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = -26 + -46 -6x = -26 + -46 Combine like terms: -26 + -46 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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