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Simplifying 6x + 35 = 14 + -61 Reorder the terms: 35 + 6x = 14 + -61 Combine like terms: 14 + -61 = -47 35 + 6x = -47 Solving 35 + 6x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6x = -47 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = -47 + -35 6x = -47 + -35 Combine like terms: -47 + -35 = -82 6x = -82 Divide each side by '6'. x = -13.66666667 Simplifying x = -13.66666667
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