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Simplifying 100 + -6x = 21x + 22 Reorder the terms: 100 + -6x = 22 + 21x Solving 100 + -6x = 22 + 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. 100 + -6x + -21x = 22 + 21x + -21x Combine like terms: -6x + -21x = -27x 100 + -27x = 22 + 21x + -21x Combine like terms: 21x + -21x = 0 100 + -27x = 22 + 0 100 + -27x = 22 Add '-100' to each side of the equation. 100 + -100 + -27x = 22 + -100 Combine like terms: 100 + -100 = 0 0 + -27x = 22 + -100 -27x = 22 + -100 Combine like terms: 22 + -100 = -78 -27x = -78 Divide each side by '-27'. x = 2.888888889 Simplifying x = 2.888888889
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