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Simplifying 21x + -5 = 4(5x + 2) + -3 Reorder the terms: -5 + 21x = 4(5x + 2) + -3 Reorder the terms: -5 + 21x = 4(2 + 5x) + -3 -5 + 21x = (2 * 4 + 5x * 4) + -3 -5 + 21x = (8 + 20x) + -3 Reorder the terms: -5 + 21x = 8 + -3 + 20x Combine like terms: 8 + -3 = 5 -5 + 21x = 5 + 20x Solving -5 + 21x = 5 + 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. -5 + 21x + -20x = 5 + 20x + -20x Combine like terms: 21x + -20x = 1x -5 + 1x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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