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Simplifying -1 + 21x + 32 = 27x + -5 Reorder the terms: -1 + 32 + 21x = 27x + -5 Combine like terms: -1 + 32 = 31 31 + 21x = 27x + -5 Reorder the terms: 31 + 21x = -5 + 27x Solving 31 + 21x = -5 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 31 + 21x + -27x = -5 + 27x + -27x Combine like terms: 21x + -27x = -6x 31 + -6x = -5 + 27x + -27x Combine like terms: 27x + -27x = 0 31 + -6x = -5 + 0 31 + -6x = -5 Add '-31' to each side of the equation. 31 + -31 + -6x = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = -5 + -31 -6x = -5 + -31 Combine like terms: -5 + -31 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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