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Simplifying -46 + x = -6x + 45 Reorder the terms: -46 + x = 45 + -6x Solving -46 + x = 45 + -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 + x + 6x = 45 + -6x + 6x Combine like terms: x + 6x = 7x -46 + 7x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 7x = 45 + 0 -46 + 7x = 45 Add '46' to each side of the equation. -46 + 46 + 7x = 45 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 45 + 46 7x = 45 + 46 Combine like terms: 45 + 46 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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