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Simplifying -46 = -3x + 7x + 2 Reorder the terms: -46 = 2 + -3x + 7x Combine like terms: -3x + 7x = 4x -46 = 2 + 4x Solving -46 = 2 + 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 + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 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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