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Simplifying 7x + 8x + -46 = 92 + -8x Reorder the terms: -46 + 7x + 8x = 92 + -8x Combine like terms: 7x + 8x = 15x -46 + 15x = 92 + -8x Solving -46 + 15x = 92 + -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. -46 + 15x + 8x = 92 + -8x + 8x Combine like terms: 15x + 8x = 23x -46 + 23x = 92 + -8x + 8x Combine like terms: -8x + 8x = 0 -46 + 23x = 92 + 0 -46 + 23x = 92 Add '46' to each side of the equation. -46 + 46 + 23x = 92 + 46 Combine like terms: -46 + 46 = 0 0 + 23x = 92 + 46 23x = 92 + 46 Combine like terms: 92 + 46 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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