To solve the equation ( 5x + 34 - 2(1 - 7x) = 0 ), first distribute the (-2) across the parentheses: ( 5x + 34 - 2 + 14x = 0 ). Combine like terms: ( 19x + 32 = 0 ). Then, isolate ( x ) by subtracting 32 from both sides: ( 19x = -32 ). Finally, divide by 19 to find ( x = -\frac{32}{19} ).
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