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Simplifying 9(5 + -3x) + 2(6 + -13x) = 322 (5 * 9 + -3x * 9) + 2(6 + -13x) = 322 (45 + -27x) + 2(6 + -13x) = 322 45 + -27x + (6 * 2 + -13x * 2) = 322 45 + -27x + (12 + -26x) = 322 Reorder the terms: 45 + 12 + -27x + -26x = 322 Combine like terms: 45 + 12 = 57 57 + -27x + -26x = 322 Combine like terms: -27x + -26x = -53x 57 + -53x = 322 Solving 57 + -53x = 322 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -53x = 322 + -57 Combine like terms: 57 + -57 = 0 0 + -53x = 322 + -57 -53x = 322 + -57 Combine like terms: 322 + -57 = 265 -53x = 265 Divide each side by '-53'. x = -5 Simplifying x = -5
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