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Simplifying -35 + -5x = -2(6x + 7) + -7 Reorder the terms: -35 + -5x = -2(7 + 6x) + -7 -35 + -5x = (7 * -2 + 6x * -2) + -7 -35 + -5x = (-14 + -12x) + -7 Reorder the terms: -35 + -5x = -14 + -7 + -12x Combine like terms: -14 + -7 = -21 -35 + -5x = -21 + -12x Solving -35 + -5x = -21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -35 + -5x + 12x = -21 + -12x + 12x Combine like terms: -5x + 12x = 7x -35 + 7x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 -35 + 7x = -21 + 0 -35 + 7x = -21 Add '35' to each side of the equation. -35 + 35 + 7x = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -21 + 35 7x = -21 + 35 Combine like terms: -21 + 35 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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