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Simplifying 117 + -6x = 21x + 24 Reorder the terms: 117 + -6x = 24 + 21x Solving 117 + -6x = 24 + 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. 117 + -6x + -21x = 24 + 21x + -21x Combine like terms: -6x + -21x = -27x 117 + -27x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 117 + -27x = 24 + 0 117 + -27x = 24 Add '-117' to each side of the equation. 117 + -117 + -27x = 24 + -117 Combine like terms: 117 + -117 = 0 0 + -27x = 24 + -117 -27x = 24 + -117 Combine like terms: 24 + -117 = -93 -27x = -93 Divide each side by '-27'. x = 3.444444444 Simplifying x = 3.444444444
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