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Simplifying 27x + 1 = 21x + 36 + 5 Reorder the terms: 1 + 27x = 21x + 36 + 5 Reorder the terms: 1 + 27x = 36 + 5 + 21x Combine like terms: 36 + 5 = 41 1 + 27x = 41 + 21x Solving 1 + 27x = 41 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 1 + 27x + -21x = 41 + 21x + -21x Combine like terms: 27x + -21x = 6x 1 + 6x = 41 + 21x + -21x Combine like terms: 21x + -21x = 0 1 + 6x = 41 + 0 1 + 6x = 41 Add '-1' to each side of the equation. 1 + -1 + 6x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 41 + -1 6x = 41 + -1 Combine like terms: 41 + -1 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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