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Simplifying 21x + -6 = 4(5x + 2) + -2 Reorder the terms: -6 + 21x = 4(5x + 2) + -2 Reorder the terms: -6 + 21x = 4(2 + 5x) + -2 -6 + 21x = (2 * 4 + 5x * 4) + -2 -6 + 21x = (8 + 20x) + -2 Reorder the terms: -6 + 21x = 8 + -2 + 20x Combine like terms: 8 + -2 = 6 -6 + 21x = 6 + 20x Solving -6 + 21x = 6 + 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. -6 + 21x + -20x = 6 + 20x + -20x Combine like terms: 21x + -20x = 1x -6 + 1x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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