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Simplifying 13x + 11 = 34 + 7x + -5 Reorder the terms: 11 + 13x = 34 + 7x + -5 Reorder the terms: 11 + 13x = 34 + -5 + 7x Combine like terms: 34 + -5 = 29 11 + 13x = 29 + 7x Solving 11 + 13x = 29 + 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. 11 + 13x + -7x = 29 + 7x + -7x Combine like terms: 13x + -7x = 6x 11 + 6x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 6x = 29 + 0 11 + 6x = 29 Add '-11' to each side of the equation. 11 + -11 + 6x = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 29 + -11 6x = 29 + -11 Combine like terms: 29 + -11 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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