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Simplifying 20x + 5 = 21x + 42 Reorder the terms: 5 + 20x = 21x + 42 Reorder the terms: 5 + 20x = 42 + 21x Solving 5 + 20x = 42 + 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. 5 + 20x + -21x = 42 + 21x + -21x Combine like terms: 20x + -21x = -1x 5 + -1x = 42 + 21x + -21x Combine like terms: 21x + -21x = 0 5 + -1x = 42 + 0 5 + -1x = 42 Add '-5' to each side of the equation. 5 + -5 + -1x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 42 + -5 -1x = 42 + -5 Combine like terms: 42 + -5 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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