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Simplifying 12x + 32 = 12x + -7x Reorder the terms: 32 + 12x = 12x + -7x Combine like terms: 12x + -7x = 5x 32 + 12x = 5x Solving 32 + 12x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x 32 + 7x = 5x + -5x Combine like terms: 5x + -5x = 0 32 + 7x = 0 Add '-32' to each side of the equation. 32 + -32 + 7x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 0 + -32 7x = 0 + -32 Combine like terms: 0 + -32 = -32 7x = -32 Divide each side by '7'. x = -4.571428571 Simplifying x = -4.571428571
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