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Simplifying 101 + -6x = 21x + 23 Reorder the terms: 101 + -6x = 23 + 21x Solving 101 + -6x = 23 + 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. 101 + -6x + -21x = 23 + 21x + -21x Combine like terms: -6x + -21x = -27x 101 + -27x = 23 + 21x + -21x Combine like terms: 21x + -21x = 0 101 + -27x = 23 + 0 101 + -27x = 23 Add '-101' to each side of the equation. 101 + -101 + -27x = 23 + -101 Combine like terms: 101 + -101 = 0 0 + -27x = 23 + -101 -27x = 23 + -101 Combine like terms: 23 + -101 = -78 -27x = -78 Divide each side by '-27'. x = 2.888888889 Simplifying x = 2.888888889
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