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Simplifying 14x + 35 + -6x = 6x + 20 + 5 Reorder the terms: 35 + 14x + -6x = 6x + 20 + 5 Combine like terms: 14x + -6x = 8x 35 + 8x = 6x + 20 + 5 Reorder the terms: 35 + 8x = 20 + 5 + 6x Combine like terms: 20 + 5 = 25 35 + 8x = 25 + 6x Solving 35 + 8x = 25 + 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 + 8x + -6x = 25 + 6x + -6x Combine like terms: 8x + -6x = 2x 35 + 2x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 2x = 25 + 0 35 + 2x = 25 Add '-35' to each side of the equation. 35 + -35 + 2x = 25 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 25 + -35 2x = 25 + -35 Combine like terms: 25 + -35 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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