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Simplifying 21x + 38 = 20x + 52 Reorder the terms: 38 + 21x = 20x + 52 Reorder the terms: 38 + 21x = 52 + 20x Solving 38 + 21x = 52 + 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. 38 + 21x + -20x = 52 + 20x + -20x Combine like terms: 21x + -20x = 1x 38 + 1x = 52 + 20x + -20x Combine like terms: 20x + -20x = 0 38 + 1x = 52 + 0 38 + 1x = 52 Add '-38' to each side of the equation. 38 + -38 + 1x = 52 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 52 + -38 1x = 52 + -38 Combine like terms: 52 + -38 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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