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Simplifying 3x + 14 = -46 + -7x Reorder the terms: 14 + 3x = -46 + -7x Solving 14 + 3x = -46 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + 3x + 7x = -46 + -7x + 7x Combine like terms: 3x + 7x = 10x 14 + 10x = -46 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 10x = -46 + 0 14 + 10x = -46 Add '-14' to each side of the equation. 14 + -14 + 10x = -46 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = -46 + -14 10x = -46 + -14 Combine like terms: -46 + -14 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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