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Simplifying 4x + -46 = 32 + -2x Reorder the terms: -46 + 4x = 32 + -2x Solving -46 + 4x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -46 + 4x + 2x = 32 + -2x + 2x Combine like terms: 4x + 2x = 6x -46 + 6x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -46 + 6x = 32 + 0 -46 + 6x = 32 Add '46' to each side of the equation. -46 + 46 + 6x = 32 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = 32 + 46 6x = 32 + 46 Combine like terms: 32 + 46 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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