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Simplifying -3x + 4(5x + 9) = -83 Reorder the terms: -3x + 4(9 + 5x) = -83 -3x + (9 * 4 + 5x * 4) = -83 -3x + (36 + 20x) = -83 Reorder the terms: 36 + -3x + 20x = -83 Combine like terms: -3x + 20x = 17x 36 + 17x = -83 Solving 36 + 17x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 17x = -83 + -36 Combine like terms: 36 + -36 = 0 0 + 17x = -83 + -36 17x = -83 + -36 Combine like terms: -83 + -36 = -119 17x = -119 Divide each side by '17'. x = -7 Simplifying x = -7
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