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Simplifying 12x + -5 = 5x + 15 + -6 Reorder the terms: -5 + 12x = 5x + 15 + -6 Reorder the terms: -5 + 12x = 15 + -6 + 5x Combine like terms: 15 + -6 = 9 -5 + 12x = 9 + 5x Solving -5 + 12x = 9 + 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. -5 + 12x + -5x = 9 + 5x + -5x Combine like terms: 12x + -5x = 7x -5 + 7x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 7x = 9 + 0 -5 + 7x = 9 Add '5' to each side of the equation. -5 + 5 + 7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 9 + 5 7x = 9 + 5 Combine like terms: 9 + 5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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