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Simplifying -2x + -46 = -7x + 39 Reorder the terms: -46 + -2x = -7x + 39 Reorder the terms: -46 + -2x = 39 + -7x Solving -46 + -2x = 39 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -46 + -2x + 7x = 39 + -7x + 7x Combine like terms: -2x + 7x = 5x -46 + 5x = 39 + -7x + 7x Combine like terms: -7x + 7x = 0 -46 + 5x = 39 + 0 -46 + 5x = 39 Add '46' to each side of the equation. -46 + 46 + 5x = 39 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 39 + 46 5x = 39 + 46 Combine like terms: 39 + 46 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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