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Simplifying 9(5 + -5x) = 9 + 2(7 + -1x) (5 * 9 + -5x * 9) = 9 + 2(7 + -1x) (45 + -45x) = 9 + 2(7 + -1x) 45 + -45x = 9 + (7 * 2 + -1x * 2) 45 + -45x = 9 + (14 + -2x) Combine like terms: 9 + 14 = 23 45 + -45x = 23 + -2x Solving 45 + -45x = 23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + -45x + 2x = 23 + -2x + 2x Combine like terms: -45x + 2x = -43x 45 + -43x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + -43x = 23 + 0 45 + -43x = 23 Add '-45' to each side of the equation. 45 + -45 + -43x = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -43x = 23 + -45 -43x = 23 + -45 Combine like terms: 23 + -45 = -22 -43x = -22 Divide each side by '-43'. x = 0.511627907 Simplifying x = 0.511627907
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