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Simplifying -3x + -46 = 46 + x Reorder the terms: -46 + -3x = 46 + x Solving -46 + -3x = 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 + -3x + -1x = 46 + x + -1x Combine like terms: -3x + -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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