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Simplifying -9(1 + 11x) = 11 + -4(7x + 5) (1 * -9 + 11x * -9) = 11 + -4(7x + 5) (-9 + -99x) = 11 + -4(7x + 5) Reorder the terms: -9 + -99x = 11 + -4(5 + 7x) -9 + -99x = 11 + (5 * -4 + 7x * -4) -9 + -99x = 11 + (-20 + -28x) Combine like terms: 11 + -20 = -9 -9 + -99x = -9 + -28x Add '9' to each side of the equation. -9 + 9 + -99x = -9 + 9 + -28x Combine like terms: -9 + 9 = 0 0 + -99x = -9 + 9 + -28x -99x = -9 + 9 + -28x Combine like terms: -9 + 9 = 0 -99x = 0 + -28x -99x = -28x Solving -99x = -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -99x + 28x = -28x + 28x Combine like terms: -99x + 28x = -71x -71x = -28x + 28x Combine like terms: -28x + 28x = 0 -71x = 0 Divide each side by '-71'. x = 0 Simplifying x = 0
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