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Simplifying x + 35 = -6x Reorder the terms: 35 + x = -6x Solving 35 + x = -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 + x + 6x = -6x + 6x Combine like terms: x + 6x = 7x 35 + 7x = -6x + 6x Combine like terms: -6x + 6x = 0 35 + 7x = 0 Add '-35' to each side of the equation. 35 + -35 + 7x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 0 + -35 7x = 0 + -35 Combine like terms: 0 + -35 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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