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Simplifying 6x + 9x + -92 = 46 + -8x Reorder the terms: -92 + 6x + 9x = 46 + -8x Combine like terms: 6x + 9x = 15x -92 + 15x = 46 + -8x Solving -92 + 15x = 46 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -92 + 15x + 8x = 46 + -8x + 8x Combine like terms: 15x + 8x = 23x -92 + 23x = 46 + -8x + 8x Combine like terms: -8x + 8x = 0 -92 + 23x = 46 + 0 -92 + 23x = 46 Add '92' to each side of the equation. -92 + 92 + 23x = 46 + 92 Combine like terms: -92 + 92 = 0 0 + 23x = 46 + 92 23x = 46 + 92 Combine like terms: 46 + 92 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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