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