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Simplifying 21x + -5 = 5(4x + 2) + -5 Reorder the terms: -5 + 21x = 5(4x + 2) + -5 Reorder the terms: -5 + 21x = 5(2 + 4x) + -5 -5 + 21x = (2 * 5 + 4x * 5) + -5 -5 + 21x = (10 + 20x) + -5 Reorder the terms: -5 + 21x = 10 + -5 + 20x Combine like terms: 10 + -5 = 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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