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Simplifying -11(-5x + -5) = 5(9x + -7) Reorder the terms: -11(-5 + -5x) = 5(9x + -7) (-5 * -11 + -5x * -11) = 5(9x + -7) (55 + 55x) = 5(9x + -7) Reorder the terms: 55 + 55x = 5(-7 + 9x) 55 + 55x = (-7 * 5 + 9x * 5) 55 + 55x = (-35 + 45x) Solving 55 + 55x = -35 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 55 + 55x + -45x = -35 + 45x + -45x Combine like terms: 55x + -45x = 10x 55 + 10x = -35 + 45x + -45x Combine like terms: 45x + -45x = 0 55 + 10x = -35 + 0 55 + 10x = -35 Add '-55' to each side of the equation. 55 + -55 + 10x = -35 + -55 Combine like terms: 55 + -55 = 0 0 + 10x = -35 + -55 10x = -35 + -55 Combine like terms: -35 + -55 = -90 10x = -90 Divide each side by '10'. x = -9 Simplifying x = -9
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