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Simplifying 5x + -46 = 46 + x Reorder the terms: -46 + 5x = 46 + x Solving -46 + 5x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -46 + 5x + -1x = 46 + x + -1x Combine like terms: 5x + -1x = 4x -46 + 4x = 46 + x + -1x Combine like terms: x + -1x = 0 -46 + 4x = 46 + 0 -46 + 4x = 46 Add '46' to each side of the equation. -46 + 46 + 4x = 46 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 46 + 46 4x = 46 + 46 Combine like terms: 46 + 46 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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