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Simplifying 3(7x + 4) = 4(3 + -5x) Reorder the terms: 3(4 + 7x) = 4(3 + -5x) (4 * 3 + 7x * 3) = 4(3 + -5x) (12 + 21x) = 4(3 + -5x) 12 + 21x = (3 * 4 + -5x * 4) 12 + 21x = (12 + -20x) Add '-12' to each side of the equation. 12 + -12 + 21x = 12 + -12 + -20x Combine like terms: 12 + -12 = 0 0 + 21x = 12 + -12 + -20x 21x = 12 + -12 + -20x Combine like terms: 12 + -12 = 0 21x = 0 + -20x 21x = -20x Solving 21x = -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. 21x + 20x = -20x + 20x Combine like terms: 21x + 20x = 41x 41x = -20x + 20x Combine like terms: -20x + 20x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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