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Simplifying -46 + 2x = -6x + 34 Reorder the terms: -46 + 2x = 34 + -6x Solving -46 + 2x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -46 + 2x + 6x = 34 + -6x + 6x Combine like terms: 2x + 6x = 8x -46 + 8x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 8x = 34 + 0 -46 + 8x = 34 Add '46' to each side of the equation. -46 + 46 + 8x = 34 + 46 Combine like terms: -46 + 46 = 0 0 + 8x = 34 + 46 8x = 34 + 46 Combine like terms: 34 + 46 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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