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