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Simplifying 5x + 35 = 21x + 9 Reorder the terms: 35 + 5x = 21x + 9 Reorder the terms: 35 + 5x = 9 + 21x Solving 35 + 5x = 9 + 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 + 5x + -21x = 9 + 21x + -21x Combine like terms: 5x + -21x = -16x 35 + -16x = 9 + 21x + -21x Combine like terms: 21x + -21x = 0 35 + -16x = 9 + 0 35 + -16x = 9 Add '-35' to each side of the equation. 35 + -35 + -16x = 9 + -35 Combine like terms: 35 + -35 = 0 0 + -16x = 9 + -35 -16x = 9 + -35 Combine like terms: 9 + -35 = -26 -16x = -26 Divide each side by '-16'. x = 1.625 Simplifying x = 1.625
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