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Simplifying -5(7 + 7x) = -6(5x + 10) (7 * -5 + 7x * -5) = -6(5x + 10) (-35 + -35x) = -6(5x + 10) Reorder the terms: -35 + -35x = -6(10 + 5x) -35 + -35x = (10 * -6 + 5x * -6) -35 + -35x = (-60 + -30x) Solving -35 + -35x = -60 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -35 + -35x + 30x = -60 + -30x + 30x Combine like terms: -35x + 30x = -5x -35 + -5x = -60 + -30x + 30x Combine like terms: -30x + 30x = 0 -35 + -5x = -60 + 0 -35 + -5x = -60 Add '35' to each side of the equation. -35 + 35 + -5x = -60 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = -60 + 35 -5x = -60 + 35 Combine like terms: -60 + 35 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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