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Simplifying 78 + -6x = 21x + 21 Reorder the terms: 78 + -6x = 21 + 21x Solving 78 + -6x = 21 + 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. 78 + -6x + -21x = 21 + 21x + -21x Combine like terms: -6x + -21x = -27x 78 + -27x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 78 + -27x = 21 + 0 78 + -27x = 21 Add '-78' to each side of the equation. 78 + -78 + -27x = 21 + -78 Combine like terms: 78 + -78 = 0 0 + -27x = 21 + -78 -27x = 21 + -78 Combine like terms: 21 + -78 = -57 -27x = -57 Divide each side by '-27'. x = 2.111111111 Simplifying x = 2.111111111
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