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Simplifying 7(3x + 5) = 5(4x + 7) Reorder the terms: 7(5 + 3x) = 5(4x + 7) (5 * 7 + 3x * 7) = 5(4x + 7) (35 + 21x) = 5(4x + 7) Reorder the terms: 35 + 21x = 5(7 + 4x) 35 + 21x = (7 * 5 + 4x * 5) 35 + 21x = (35 + 20x) Add '-35' to each side of the equation. 35 + -35 + 21x = 35 + -35 + 20x Combine like terms: 35 + -35 = 0 0 + 21x = 35 + -35 + 20x 21x = 35 + -35 + 20x Combine like terms: 35 + -35 = 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 = 1x 1x = 20x + -20x Combine like terms: 20x + -20x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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