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Simplifying 13x + 22 = 6x + 71 Reorder the terms: 22 + 13x = 6x + 71 Reorder the terms: 22 + 13x = 71 + 6x Solving 22 + 13x = 71 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + 13x + -6x = 71 + 6x + -6x Combine like terms: 13x + -6x = 7x 22 + 7x = 71 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 7x = 71 + 0 22 + 7x = 71 Add '-22' to each side of the equation. 22 + -22 + 7x = 71 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 71 + -22 7x = 71 + -22 Combine like terms: 71 + -22 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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