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Simplifying 6x + 2(7x + 17) = 194 Reorder the terms: 6x + 2(17 + 7x) = 194 6x + (17 * 2 + 7x * 2) = 194 6x + (34 + 14x) = 194 Reorder the terms: 34 + 6x + 14x = 194 Combine like terms: 6x + 14x = 20x 34 + 20x = 194 Solving 34 + 20x = 194 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 + 20x = 194 + -34 Combine like terms: 34 + -34 = 0 0 + 20x = 194 + -34 20x = 194 + -34 Combine like terms: 194 + -34 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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