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Simplifying 5(x + 1) + 6(x + 6) = 60 Reorder the terms: 5(1 + x) + 6(x + 6) = 60 (1 * 5 + x * 5) + 6(x + 6) = 60 (5 + 5x) + 6(x + 6) = 60 Reorder the terms: 5 + 5x + 6(6 + x) = 60 5 + 5x + (6 * 6 + x * 6) = 60 5 + 5x + (36 + 6x) = 60 Reorder the terms: 5 + 36 + 5x + 6x = 60 Combine like terms: 5 + 36 = 41 41 + 5x + 6x = 60 Combine like terms: 5x + 6x = 11x 41 + 11x = 60 Solving 41 + 11x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 11x = 60 + -41 Combine like terms: 41 + -41 = 0 0 + 11x = 60 + -41 11x = 60 + -41 Combine like terms: 60 + -41 = 19 11x = 19 Divide each side by '11'. x = 1.727272727 Simplifying x = 1.727272727
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