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Simplifying 3x + -2(6x + -17) = -74 Reorder the terms: 3x + -2(-17 + 6x) = -74 3x + (-17 * -2 + 6x * -2) = -74 3x + (34 + -12x) = -74 Reorder the terms: 34 + 3x + -12x = -74 Combine like terms: 3x + -12x = -9x 34 + -9x = -74 Solving 34 + -9x = -74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -9x = -74 + -34 Combine like terms: 34 + -34 = 0 0 + -9x = -74 + -34 -9x = -74 + -34 Combine like terms: -74 + -34 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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