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Simplifying 11(7x + 5) = 5(11 + 12x) Reorder the terms: 11(5 + 7x) = 5(11 + 12x) (5 * 11 + 7x * 11) = 5(11 + 12x) (55 + 77x) = 5(11 + 12x) 55 + 77x = (11 * 5 + 12x * 5) 55 + 77x = (55 + 60x) Add '-55' to each side of the equation. 55 + -55 + 77x = 55 + -55 + 60x Combine like terms: 55 + -55 = 0 0 + 77x = 55 + -55 + 60x 77x = 55 + -55 + 60x Combine like terms: 55 + -55 = 0 77x = 0 + 60x 77x = 60x Solving 77x = 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 77x + -60x = 60x + -60x Combine like terms: 77x + -60x = 17x 17x = 60x + -60x Combine like terms: 60x + -60x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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