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Simplifying -32 + (-6x) + -14 + 8x = 0 Reorder the terms: -32 + -14 + (-6x) + 8x = 0 Combine like terms: -32 + -14 = -46 -46 + (-6x) + 8x = 0 Combine like terms: (-6x) + 8x = 2x -46 + 2x = 0 Solving -46 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 2x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 2x = 0 + 46 2x = 0 + 46 Combine like terms: 0 + 46 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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