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Simplifying -46 + 11x = 89 + 6x Solving -46 + 11x = 89 + 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 + 11x + -6x = 89 + 6x + -6x Combine like terms: 11x + -6x = 5x -46 + 5x = 89 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 5x = 89 + 0 -46 + 5x = 89 Add '46' to each side of the equation. -46 + 46 + 5x = 89 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 89 + 46 5x = 89 + 46 Combine like terms: 89 + 46 = 135 5x = 135 Divide each side by '5'. x = 27 Simplifying x = 27
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