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Simplifying 5x + -46 = 17 + -2x Reorder the terms: -46 + 5x = 17 + -2x Solving -46 + 5x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -46 + 5x + 2x = 17 + -2x + 2x Combine like terms: 5x + 2x = 7x -46 + 7x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -46 + 7x = 17 + 0 -46 + 7x = 17 Add '46' to each side of the equation. -46 + 46 + 7x = 17 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 17 + 46 7x = 17 + 46 Combine like terms: 17 + 46 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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