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Simplifying 5x + 11 = 38 + -2x Reorder the terms: 11 + 5x = 38 + -2x Solving 11 + 5x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 5x + 2x = 38 + -2x + 2x Combine like terms: 5x + 2x = 7x 11 + 7x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 7x = 38 + 0 11 + 7x = 38 Add '-11' to each side of the equation. 11 + -11 + 7x = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 38 + -11 7x = 38 + -11 Combine like terms: 38 + -11 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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