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Simplifying 3x + 35 = 6x + 82 Reorder the terms: 35 + 3x = 6x + 82 Reorder the terms: 35 + 3x = 82 + 6x Solving 35 + 3x = 82 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 3x + -6x = 82 + 6x + -6x Combine like terms: 3x + -6x = -3x 35 + -3x = 82 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -3x = 82 + 0 35 + -3x = 82 Add '-35' to each side of the equation. 35 + -35 + -3x = 82 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 82 + -35 -3x = 82 + -35 Combine like terms: 82 + -35 = 47 -3x = 47 Divide each side by '-3'. x = -15.66666667 Simplifying x = -15.66666667
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