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Simplifying 12x + 22 = 7x + 32 Reorder the terms: 22 + 12x = 7x + 32 Reorder the terms: 22 + 12x = 32 + 7x Solving 22 + 12x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 22 + 12x + -7x = 32 + 7x + -7x Combine like terms: 12x + -7x = 5x 22 + 5x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + 5x = 32 + 0 22 + 5x = 32 Add '-22' to each side of the equation. 22 + -22 + 5x = 32 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 32 + -22 5x = 32 + -22 Combine like terms: 32 + -22 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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