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Simplifying -46 + 5x = 108 + -6x Solving -46 + 5x = 108 + -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 + 5x + 6x = 108 + -6x + 6x Combine like terms: 5x + 6x = 11x -46 + 11x = 108 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 11x = 108 + 0 -46 + 11x = 108 Add '46' to each side of the equation. -46 + 46 + 11x = 108 + 46 Combine like terms: -46 + 46 = 0 0 + 11x = 108 + 46 11x = 108 + 46 Combine like terms: 108 + 46 = 154 11x = 154 Divide each side by '11'. x = 14 Simplifying x = 14
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