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Simplifying 2x + 5x + -12 = 24 + -5x Reorder the terms: -12 + 2x + 5x = 24 + -5x Combine like terms: 2x + 5x = 7x -12 + 7x = 24 + -5x Solving -12 + 7x = 24 + -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. -12 + 7x + 5x = 24 + -5x + 5x Combine like terms: 7x + 5x = 12x -12 + 12x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 12x = 24 + 0 -12 + 12x = 24 Add '12' to each side of the equation. -12 + 12 + 12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 24 + 12 12x = 24 + 12 Combine like terms: 24 + 12 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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