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Simplifying -5x + -46 = 45 + -12x Reorder the terms: -46 + -5x = 45 + -12x Solving -46 + -5x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -46 + -5x + 12x = 45 + -12x + 12x Combine like terms: -5x + 12x = 7x -46 + 7x = 45 + -12x + 12x Combine like terms: -12x + 12x = 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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