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Simplifying -6 + -6x = 7(-5x + -5) Reorder the terms: -6 + -6x = 7(-5 + -5x) -6 + -6x = (-5 * 7 + -5x * 7) -6 + -6x = (-35 + -35x) Solving -6 + -6x = -35 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -6 + -6x + 35x = -35 + -35x + 35x Combine like terms: -6x + 35x = 29x -6 + 29x = -35 + -35x + 35x Combine like terms: -35x + 35x = 0 -6 + 29x = -35 + 0 -6 + 29x = -35 Add '6' to each side of the equation. -6 + 6 + 29x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + 29x = -35 + 6 29x = -35 + 6 Combine like terms: -35 + 6 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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