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Simplifying 6x + 14 = -46 + -6x Reorder the terms: 14 + 6x = -46 + -6x Solving 14 + 6x = -46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 6x + 6x = -46 + -6x + 6x Combine like terms: 6x + 6x = 12x 14 + 12x = -46 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 12x = -46 + 0 14 + 12x = -46 Add '-14' to each side of the equation. 14 + -14 + 12x = -46 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -46 + -14 12x = -46 + -14 Combine like terms: -46 + -14 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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