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Simplifying 5x + -32 = 3x + 46 Reorder the terms: -32 + 5x = 3x + 46 Reorder the terms: -32 + 5x = 46 + 3x Solving -32 + 5x = 46 + 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. -32 + 5x + -3x = 46 + 3x + -3x Combine like terms: 5x + -3x = 2x -32 + 2x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 2x = 46 + 0 -32 + 2x = 46 Add '32' to each side of the equation. -32 + 32 + 2x = 46 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 46 + 32 2x = 46 + 32 Combine like terms: 46 + 32 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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