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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 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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