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Simplifying 7x + -46 = 4x + 14 Reorder the terms: -46 + 7x = 4x + 14 Reorder the terms: -46 + 7x = 14 + 4x Solving -46 + 7x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + 7x + -4x = 14 + 4x + -4x Combine like terms: 7x + -4x = 3x -46 + 3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + 3x = 14 + 0 -46 + 3x = 14 Add '46' to each side of the equation. -46 + 46 + 3x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 3x = 14 + 46 3x = 14 + 46 Combine like terms: 14 + 46 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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