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Simplifying -46 + 11x = 5x + 56 Reorder the terms: -46 + 11x = 56 + 5x Solving -46 + 11x = 56 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -46 + 11x + -5x = 56 + 5x + -5x Combine like terms: 11x + -5x = 6x -46 + 6x = 56 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + 6x = 56 + 0 -46 + 6x = 56 Add '46' to each side of the equation. -46 + 46 + 6x = 56 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = 56 + 46 6x = 56 + 46 Combine like terms: 56 + 46 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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