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Simplifying 35 = 7x + 7(-3x + -17) Reorder the terms: 35 = 7x + 7(-17 + -3x) 35 = 7x + (-17 * 7 + -3x * 7) 35 = 7x + (-119 + -21x) Reorder the terms: 35 = -119 + 7x + -21x Combine like terms: 7x + -21x = -14x 35 = -119 + -14x Solving 35 = -119 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 35 + 14x = -119 + -14x + 14x Combine like terms: -14x + 14x = 0 35 + 14x = -119 + 0 35 + 14x = -119 Add '-35' to each side of the equation. 35 + -35 + 14x = -119 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = -119 + -35 14x = -119 + -35 Combine like terms: -119 + -35 = -154 14x = -154 Divide each side by '14'. x = -11 Simplifying x = -11
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