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Simplifying 10(6x + 3) = 25(x + 11) Reorder the terms: 10(3 + 6x) = 25(x + 11) (3 * 10 + 6x * 10) = 25(x + 11) (30 + 60x) = 25(x + 11) Reorder the terms: 30 + 60x = 25(11 + x) 30 + 60x = (11 * 25 + x * 25) 30 + 60x = (275 + 25x) Solving 30 + 60x = 275 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 30 + 60x + -25x = 275 + 25x + -25x Combine like terms: 60x + -25x = 35x 30 + 35x = 275 + 25x + -25x Combine like terms: 25x + -25x = 0 30 + 35x = 275 + 0 30 + 35x = 275 Add '-30' to each side of the equation. 30 + -30 + 35x = 275 + -30 Combine like terms: 30 + -30 = 0 0 + 35x = 275 + -30 35x = 275 + -30 Combine like terms: 275 + -30 = 245 35x = 245 Divide each side by '35'. x = 7 Simplifying x = 7
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