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Simplifying 5x + 9 + -1(3x + -1[5(x + -2) + -1]) = 2(x + -11) Reorder the terms: 5x + 9 + -1(3x + -1[5(-2 + x) + -1]) = 2(x + -11) 5x + 9 + -1(3x + -1[(-2 * 5 + x * 5) + -1]) = 2(x + -11) 5x + 9 + -1(3x + -1[(-10 + 5x) + -1]) = 2(x + -11) Reorder the terms: 5x + 9 + -1(3x + -1[-10 + -1 + 5x]) = 2(x + -11) Combine like terms: -10 + -1 = -11 5x + 9 + -1(3x + -1[-11 + 5x]) = 2(x + -11) 5x + 9 + -1(3x + [-11 * -1 + 5x * -1]) = 2(x + -11) 5x + 9 + -1(3x + [11 + -5x]) = 2(x + -11) Reorder the terms: 5x + 9 + -1(11 + 3x + -5x) = 2(x + -11) Combine like terms: 3x + -5x = -2x 5x + 9 + -1(11 + -2x) = 2(x + -11) 5x + 9 + (11 * -1 + -2x * -1) = 2(x + -11) 5x + 9 + (-11 + 2x) = 2(x + -11) Reorder the terms: 9 + -11 + 5x + 2x = 2(x + -11) Combine like terms: 9 + -11 = -2 -2 + 5x + 2x = 2(x + -11) Combine like terms: 5x + 2x = 7x -2 + 7x = 2(x + -11) Reorder the terms: -2 + 7x = 2(-11 + x) -2 + 7x = (-11 * 2 + x * 2) -2 + 7x = (-22 + 2x) Solving -2 + 7x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 7x + -2x = -22 + 2x + -2x Combine like terms: 7x + -2x = 5x -2 + 5x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 5x = -22 + 0 -2 + 5x = -22 Add '2' to each side of the equation. -2 + 2 + 5x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -22 + 2 5x = -22 + 2 Combine like terms: -22 + 2 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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