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Simplifying 6x + 8x + -46 = 69 + -9x Reorder the terms: -46 + 6x + 8x = 69 + -9x Combine like terms: 6x + 8x = 14x -46 + 14x = 69 + -9x Solving -46 + 14x = 69 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -46 + 14x + 9x = 69 + -9x + 9x Combine like terms: 14x + 9x = 23x -46 + 23x = 69 + -9x + 9x Combine like terms: -9x + 9x = 0 -46 + 23x = 69 + 0 -46 + 23x = 69 Add '46' to each side of the equation. -46 + 46 + 23x = 69 + 46 Combine like terms: -46 + 46 = 0 0 + 23x = 69 + 46 23x = 69 + 46 Combine like terms: 69 + 46 = 115 23x = 115 Divide each side by '23'. x = 5 Simplifying x = 5
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