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Simplifying 9(x + 2) = 7(5x + 7) Reorder the terms: 9(2 + x) = 7(5x + 7) (2 * 9 + x * 9) = 7(5x + 7) (18 + 9x) = 7(5x + 7) Reorder the terms: 18 + 9x = 7(7 + 5x) 18 + 9x = (7 * 7 + 5x * 7) 18 + 9x = (49 + 35x) Solving 18 + 9x = 49 + 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. 18 + 9x + -35x = 49 + 35x + -35x Combine like terms: 9x + -35x = -26x 18 + -26x = 49 + 35x + -35x Combine like terms: 35x + -35x = 0 18 + -26x = 49 + 0 18 + -26x = 49 Add '-18' to each side of the equation. 18 + -18 + -26x = 49 + -18 Combine like terms: 18 + -18 = 0 0 + -26x = 49 + -18 -26x = 49 + -18 Combine like terms: 49 + -18 = 31 -26x = 31 Divide each side by '-26'. x = -1.192307692 Simplifying x = -1.192307692
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