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Simplifying 21x + -35 = 20x + 45 Reorder the terms: -35 + 21x = 20x + 45 Reorder the terms: -35 + 21x = 45 + 20x Solving -35 + 21x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -35 + 21x + -20x = 45 + 20x + -20x Combine like terms: 21x + -20x = 1x -35 + 1x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 -35 + 1x = 45 + 0 -35 + 1x = 45 Add '35' to each side of the equation. -35 + 35 + 1x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 45 + 35 1x = 45 + 35 Combine like terms: 45 + 35 = 80 1x = 80 Divide each side by '1'. x = 80 Simplifying x = 80
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