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Simplifying -5x + 32 = 46 + -12x Reorder the terms: 32 + -5x = 46 + -12x Solving 32 + -5x = 46 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + -5x + 12x = 46 + -12x + 12x Combine like terms: -5x + 12x = 7x 32 + 7x = 46 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + 7x = 46 + 0 32 + 7x = 46 Add '-32' to each side of the equation. 32 + -32 + 7x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 46 + -32 7x = 46 + -32 Combine like terms: 46 + -32 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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