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Simplifying 12x + 9 = 5x + 13 Reorder the terms: 9 + 12x = 5x + 13 Reorder the terms: 9 + 12x = 13 + 5x Solving 9 + 12x = 13 + 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. 9 + 12x + -5x = 13 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = 13 + 0 9 + 7x = 13 Add '-9' to each side of the equation. 9 + -9 + 7x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 13 + -9 7x = 13 + -9 Combine like terms: 13 + -9 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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