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Simplifying 11 + -2(4 + -1x) = 3x + -1(5 + -2x) 11 + (4 * -2 + -1x * -2) = 3x + -1(5 + -2x) 11 + (-8 + 2x) = 3x + -1(5 + -2x) Combine like terms: 11 + -8 = 3 3 + 2x = 3x + -1(5 + -2x) 3 + 2x = 3x + (5 * -1 + -2x * -1) 3 + 2x = 3x + (-5 + 2x) Reorder the terms: 3 + 2x = -5 + 3x + 2x Combine like terms: 3x + 2x = 5x 3 + 2x = -5 + 5x Solving 3 + 2x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = -5 + 0 3 + -3x = -5 Add '-3' to each side of the equation. 3 + -3 + -3x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -5 + -3 -3x = -5 + -3 Combine like terms: -5 + -3 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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