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Simplifying -46 + 6x = 2x + 38 Reorder the terms: -46 + 6x = 38 + 2x Solving -46 + 6x = 38 + 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 + 6x + -2x = 38 + 2x + -2x Combine like terms: 6x + -2x = 4x -46 + 4x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + 4x = 38 + 0 -46 + 4x = 38 Add '46' to each side of the equation. -46 + 46 + 4x = 38 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 38 + 46 4x = 38 + 46 Combine like terms: 38 + 46 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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