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Simplifying 47 + -6x = 21x + 17 Reorder the terms: 47 + -6x = 17 + 21x Solving 47 + -6x = 17 + 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. 47 + -6x + -21x = 17 + 21x + -21x Combine like terms: -6x + -21x = -27x 47 + -27x = 17 + 21x + -21x Combine like terms: 21x + -21x = 0 47 + -27x = 17 + 0 47 + -27x = 17 Add '-47' to each side of the equation. 47 + -47 + -27x = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -27x = 17 + -47 -27x = 17 + -47 Combine like terms: 17 + -47 = -30 -27x = -30 Divide each side by '-27'. x = 1.111111111 Simplifying x = 1.111111111
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