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Simplifying 21x + -15 = 20x + 16 + -1 Reorder the terms: -15 + 21x = 20x + 16 + -1 Reorder the terms: -15 + 21x = 16 + -1 + 20x Combine like terms: 16 + -1 = 15 -15 + 21x = 15 + 20x Solving -15 + 21x = 15 + 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. -15 + 21x + -20x = 15 + 20x + -20x Combine like terms: 21x + -20x = 1x -15 + 1x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + 1x = 15 + 0 -15 + 1x = 15 Add '15' to each side of the equation. -15 + 15 + 1x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 15 + 15 1x = 15 + 15 Combine like terms: 15 + 15 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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