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Simplifying (11x + 9) + -1(5x + -1) = 38 Reorder the terms: (9 + 11x) + -1(5x + -1) = 38 Remove parenthesis around (9 + 11x) 9 + 11x + -1(5x + -1) = 38 Reorder the terms: 9 + 11x + -1(-1 + 5x) = 38 9 + 11x + (-1 * -1 + 5x * -1) = 38 9 + 11x + (1 + -5x) = 38 Reorder the terms: 9 + 1 + 11x + -5x = 38 Combine like terms: 9 + 1 = 10 10 + 11x + -5x = 38 Combine like terms: 11x + -5x = 6x 10 + 6x = 38 Solving 10 + 6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 38 + -10 6x = 38 + -10 Combine like terms: 38 + -10 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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