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Simplifying 6(3 + 3x) + 2(6x + 8) = -26 (3 * 6 + 3x * 6) + 2(6x + 8) = -26 (18 + 18x) + 2(6x + 8) = -26 Reorder the terms: 18 + 18x + 2(8 + 6x) = -26 18 + 18x + (8 * 2 + 6x * 2) = -26 18 + 18x + (16 + 12x) = -26 Reorder the terms: 18 + 16 + 18x + 12x = -26 Combine like terms: 18 + 16 = 34 34 + 18x + 12x = -26 Combine like terms: 18x + 12x = 30x 34 + 30x = -26 Solving 34 + 30x = -26 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 + 30x = -26 + -34 Combine like terms: 34 + -34 = 0 0 + 30x = -26 + -34 30x = -26 + -34 Combine like terms: -26 + -34 = -60 30x = -60 Divide each side by '30'. x = -2 Simplifying x = -2
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