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Simplifying 7(5x + 3) = 3(4x + 7) Reorder the terms: 7(3 + 5x) = 3(4x + 7) (3 * 7 + 5x * 7) = 3(4x + 7) (21 + 35x) = 3(4x + 7) Reorder the terms: 21 + 35x = 3(7 + 4x) 21 + 35x = (7 * 3 + 4x * 3) 21 + 35x = (21 + 12x) Add '-21' to each side of the equation. 21 + -21 + 35x = 21 + -21 + 12x Combine like terms: 21 + -21 = 0 0 + 35x = 21 + -21 + 12x 35x = 21 + -21 + 12x Combine like terms: 21 + -21 = 0 35x = 0 + 12x 35x = 12x Solving 35x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 35x + -12x = 12x + -12x Combine like terms: 35x + -12x = 23x 23x = 12x + -12x Combine like terms: 12x + -12x = 0 23x = 0 Divide each side by '23'. x = 0 Simplifying x = 0
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