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Simplifying 20x + 21 = 3(6x + 5) Reorder the terms: 21 + 20x = 3(6x + 5) Reorder the terms: 21 + 20x = 3(5 + 6x) 21 + 20x = (5 * 3 + 6x * 3) 21 + 20x = (15 + 18x) Solving 21 + 20x = 15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + 20x + -18x = 15 + 18x + -18x Combine like terms: 20x + -18x = 2x 21 + 2x = 15 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + 2x = 15 + 0 21 + 2x = 15 Add '-21' to each side of the equation. 21 + -21 + 2x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 15 + -21 2x = 15 + -21 Combine like terms: 15 + -21 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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