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Simplifying 9 + 5(4x + -4) = 11(2x + -1) Reorder the terms: 9 + 5(-4 + 4x) = 11(2x + -1) 9 + (-4 * 5 + 4x * 5) = 11(2x + -1) 9 + (-20 + 20x) = 11(2x + -1) Combine like terms: 9 + -20 = -11 -11 + 20x = 11(2x + -1) Reorder the terms: -11 + 20x = 11(-1 + 2x) -11 + 20x = (-1 * 11 + 2x * 11) -11 + 20x = (-11 + 22x) Add '11' to each side of the equation. -11 + 11 + 20x = -11 + 11 + 22x Combine like terms: -11 + 11 = 0 0 + 20x = -11 + 11 + 22x 20x = -11 + 11 + 22x Combine like terms: -11 + 11 = 0 20x = 0 + 22x 20x = 22x Solving 20x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 20x + -22x = 22x + -22x Combine like terms: 20x + -22x = -2x -2x = 22x + -22x Combine like terms: 22x + -22x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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