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Simplifying 35 = 5x + 2(-6x + -7) Reorder the terms: 35 = 5x + 2(-7 + -6x) 35 = 5x + (-7 * 2 + -6x * 2) 35 = 5x + (-14 + -12x) Reorder the terms: 35 = -14 + 5x + -12x Combine like terms: 5x + -12x = -7x 35 = -14 + -7x Solving 35 = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + 7x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 7x = -14 + 0 35 + 7x = -14 Add '-35' to each side of the equation. 35 + -35 + 7x = -14 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -14 + -35 7x = -14 + -35 Combine like terms: -14 + -35 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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