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Simplifying 21x + -8 = 5(4x + 2) + -2 Reorder the terms: -8 + 21x = 5(4x + 2) + -2 Reorder the terms: -8 + 21x = 5(2 + 4x) + -2 -8 + 21x = (2 * 5 + 4x * 5) + -2 -8 + 21x = (10 + 20x) + -2 Reorder the terms: -8 + 21x = 10 + -2 + 20x Combine like terms: 10 + -2 = 8 -8 + 21x = 8 + 20x Solving -8 + 21x = 8 + 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. -8 + 21x + -20x = 8 + 20x + -20x Combine like terms: 21x + -20x = 1x -8 + 1x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -8 + 1x = 8 + 0 -8 + 1x = 8 Add '8' to each side of the equation. -8 + 8 + 1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 8 + 8 1x = 8 + 8 Combine like terms: 8 + 8 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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