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Simplifying 13x + 5 = 7x + 41 Reorder the terms: 5 + 13x = 7x + 41 Reorder the terms: 5 + 13x = 41 + 7x Solving 5 + 13x = 41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 13x + -7x = 41 + 7x + -7x Combine like terms: 13x + -7x = 6x 5 + 6x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 6x = 41 + 0 5 + 6x = 41 Add '-5' to each side of the equation. 5 + -5 + 6x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 41 + -5 6x = 41 + -5 Combine like terms: 41 + -5 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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