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Simplifying 12x + 9 = 10x + 13 Reorder the terms: 9 + 12x = 10x + 13 Reorder the terms: 9 + 12x = 13 + 10x Solving 9 + 12x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 12x + -10x = 13 + 10x + -10x Combine like terms: 12x + -10x = 2x 9 + 2x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 2x = 13 + 0 9 + 2x = 13 Add '-9' to each side of the equation. 9 + -9 + 2x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 13 + -9 2x = 13 + -9 Combine like terms: 13 + -9 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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