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Simplifying 35 + -6x = 5x + -42 Reorder the terms: 35 + -6x = -42 + 5x Solving 35 + -6x = -42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + -6x + -5x = -42 + 5x + -5x Combine like terms: -6x + -5x = -11x 35 + -11x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -11x = -42 + 0 35 + -11x = -42 Add '-35' to each side of the equation. 35 + -35 + -11x = -42 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = -42 + -35 -11x = -42 + -35 Combine like terms: -42 + -35 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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