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Simplifying 12x + -32 = 43 + 7x Reorder the terms: -32 + 12x = 43 + 7x Solving -32 + 12x = 43 + 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. -32 + 12x + -7x = 43 + 7x + -7x Combine like terms: 12x + -7x = 5x -32 + 5x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 5x = 43 + 0 -32 + 5x = 43 Add '32' to each side of the equation. -32 + 32 + 5x = 43 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 43 + 32 5x = 43 + 32 Combine like terms: 43 + 32 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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