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Simplifying 7x + 35 = 21x + 31 Reorder the terms: 35 + 7x = 21x + 31 Reorder the terms: 35 + 7x = 31 + 21x Solving 35 + 7x = 31 + 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. 35 + 7x + -21x = 31 + 21x + -21x Combine like terms: 7x + -21x = -14x 35 + -14x = 31 + 21x + -21x Combine like terms: 21x + -21x = 0 35 + -14x = 31 + 0 35 + -14x = 31 Add '-35' to each side of the equation. 35 + -35 + -14x = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = 31 + -35 -14x = 31 + -35 Combine like terms: 31 + -35 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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