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Simplifying 9(x + 3) = 35x + 1 Reorder the terms: 9(3 + x) = 35x + 1 (3 * 9 + x * 9) = 35x + 1 (27 + 9x) = 35x + 1 Reorder the terms: 27 + 9x = 1 + 35x Solving 27 + 9x = 1 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 27 + 9x + -35x = 1 + 35x + -35x Combine like terms: 9x + -35x = -26x 27 + -26x = 1 + 35x + -35x Combine like terms: 35x + -35x = 0 27 + -26x = 1 + 0 27 + -26x = 1 Add '-27' to each side of the equation. 27 + -27 + -26x = 1 + -27 Combine like terms: 27 + -27 = 0 0 + -26x = 1 + -27 -26x = 1 + -27 Combine like terms: 1 + -27 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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