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Simplifying 13x + 39 = 10x + 54 Reorder the terms: 39 + 13x = 10x + 54 Reorder the terms: 39 + 13x = 54 + 10x Solving 39 + 13x = 54 + 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. 39 + 13x + -10x = 54 + 10x + -10x Combine like terms: 13x + -10x = 3x 39 + 3x = 54 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + 3x = 54 + 0 39 + 3x = 54 Add '-39' to each side of the equation. 39 + -39 + 3x = 54 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 54 + -39 3x = 54 + -39 Combine like terms: 54 + -39 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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