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Simplifying 5x + -46 = 3x + 24 Reorder the terms: -46 + 5x = 3x + 24 Reorder the terms: -46 + 5x = 24 + 3x Solving -46 + 5x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -46 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x -46 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + 2x = 24 + 0 -46 + 2x = 24 Add '46' to each side of the equation. -46 + 46 + 2x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + 2x = 24 + 46 2x = 24 + 46 Combine like terms: 24 + 46 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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