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Simplifying -46 + 11x = 4x + 80 Reorder the terms: -46 + 11x = 80 + 4x Solving -46 + 11x = 80 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + 11x + -4x = 80 + 4x + -4x Combine like terms: 11x + -4x = 7x -46 + 7x = 80 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + 7x = 80 + 0 -46 + 7x = 80 Add '46' to each side of the equation. -46 + 46 + 7x = 80 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 80 + 46 7x = 80 + 46 Combine like terms: 80 + 46 = 126 7x = 126 Divide each side by '7'. x = 18 Simplifying x = 18
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