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Simplifying 7x + -46 = 22 + 3x Reorder the terms: -46 + 7x = 22 + 3x Solving -46 + 7x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -46 + 7x + -3x = 22 + 3x + -3x Combine like terms: 7x + -3x = 4x -46 + 4x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + 4x = 22 + 0 -46 + 4x = 22 Add '46' to each side of the equation. -46 + 46 + 4x = 22 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 22 + 46 4x = 22 + 46 Combine like terms: 22 + 46 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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