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Simplifying -2x + 3(-5x + 12) = -83 Reorder the terms: -2x + 3(12 + -5x) = -83 -2x + (12 * 3 + -5x * 3) = -83 -2x + (36 + -15x) = -83 Reorder the terms: 36 + -2x + -15x = -83 Combine like terms: -2x + -15x = -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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