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Simplifying 11x + -14 + 19 = -2x + 38 Reorder the terms: -14 + 19 + 11x = -2x + 38 Combine like terms: -14 + 19 = 5 5 + 11x = -2x + 38 Reorder the terms: 5 + 11x = 38 + -2x Solving 5 + 11x = 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. 5 + 11x + 2x = 38 + -2x + 2x Combine like terms: 11x + 2x = 13x 5 + 13x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 13x = 38 + 0 5 + 13x = 38 Add '-5' to each side of the equation. 5 + -5 + 13x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 38 + -5 13x = 38 + -5 Combine like terms: 38 + -5 = 33 13x = 33 Divide each side by '13'. x = 2.538461538 Simplifying x = 2.538461538
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