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