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Simplifying 39 + x * 13 = 55 + x * 11 Reorder the terms for easier multiplication: 39 + 13x = 55 + x * 11 Reorder the terms for easier multiplication: 39 + 13x = 55 + 11x Solving 39 + 13x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 39 + 13x + -11x = 55 + 11x + -11x Combine like terms: 13x + -11x = 2x 39 + 2x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 39 + 2x = 55 + 0 39 + 2x = 55 Add '-39' to each side of the equation. 39 + -39 + 2x = 55 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 55 + -39 2x = 55 + -39 Combine like terms: 55 + -39 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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