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Simplifying -5(-9x + 1) + -6 = -11(1 + 4x) Reorder the terms: -5(1 + -9x) + -6 = -11(1 + 4x) (1 * -5 + -9x * -5) + -6 = -11(1 + 4x) (-5 + 45x) + -6 = -11(1 + 4x) Reorder the terms: -5 + -6 + 45x = -11(1 + 4x) Combine like terms: -5 + -6 = -11 -11 + 45x = -11(1 + 4x) -11 + 45x = (1 * -11 + 4x * -11) -11 + 45x = (-11 + -44x) Add '11' to each side of the equation. -11 + 11 + 45x = -11 + 11 + -44x Combine like terms: -11 + 11 = 0 0 + 45x = -11 + 11 + -44x 45x = -11 + 11 + -44x Combine like terms: -11 + 11 = 0 45x = 0 + -44x 45x = -44x Solving 45x = -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. 45x + 44x = -44x + 44x Combine like terms: 45x + 44x = 89x 89x = -44x + 44x Combine like terms: -44x + 44x = 0 89x = 0 Divide each side by '89'. x = 0 Simplifying x = 0
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