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Simplifying 3x + -46 = -1x + 2 Reorder the terms: -46 + 3x = -1x + 2 Reorder the terms: -46 + 3x = 2 + -1x Solving -46 + 3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -46 + 3x + x = 2 + -1x + x Combine like terms: 3x + x = 4x -46 + 4x = 2 + -1x + x Combine like terms: -1x + x = 0 -46 + 4x = 2 + 0 -46 + 4x = 2 Add '46' to each side of the equation. -46 + 46 + 4x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 2 + 46 4x = 2 + 46 Combine like terms: 2 + 46 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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