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Simplifying 3(7x + 5) = 5(4x + 8) + -21 Reorder the terms: 3(5 + 7x) = 5(4x + 8) + -21 (5 * 3 + 7x * 3) = 5(4x + 8) + -21 (15 + 21x) = 5(4x + 8) + -21 Reorder the terms: 15 + 21x = 5(8 + 4x) + -21 15 + 21x = (8 * 5 + 4x * 5) + -21 15 + 21x = (40 + 20x) + -21 Reorder the terms: 15 + 21x = 40 + -21 + 20x Combine like terms: 40 + -21 = 19 15 + 21x = 19 + 20x Solving 15 + 21x = 19 + 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. 15 + 21x + -20x = 19 + 20x + -20x Combine like terms: 21x + -20x = 1x 15 + 1x = 19 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + 1x = 19 + 0 15 + 1x = 19 Add '-15' to each side of the equation. 15 + -15 + 1x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 19 + -15 1x = 19 + -15 Combine like terms: 19 + -15 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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