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Simplifying 13x + 9 = 10x + 39 Reorder the terms: 9 + 13x = 10x + 39 Reorder the terms: 9 + 13x = 39 + 10x Solving 9 + 13x = 39 + 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 + 13x + -10x = 39 + 10x + -10x Combine like terms: 13x + -10x = 3x 9 + 3x = 39 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 3x = 39 + 0 9 + 3x = 39 Add '-9' to each side of the equation. 9 + -9 + 3x = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 39 + -9 3x = 39 + -9 Combine like terms: 39 + -9 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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