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Simplifying 2x + -1(x + -1(3x + -1(6x + 5))) = 4x + -1 Reorder the terms: 2x + -1(x + -1(3x + -1(5 + 6x))) = 4x + -1 2x + -1(x + -1(3x + (5 * -1 + 6x * -1))) = 4x + -1 2x + -1(x + -1(3x + (-5 + -6x))) = 4x + -1 Reorder the terms: 2x + -1(x + -1(-5 + 3x + -6x)) = 4x + -1 Combine like terms: 3x + -6x = -3x 2x + -1(x + -1(-5 + -3x)) = 4x + -1 2x + -1(x + (-5 * -1 + -3x * -1)) = 4x + -1 2x + -1(x + (5 + 3x)) = 4x + -1 Reorder the terms: 2x + -1(5 + x + 3x) = 4x + -1 Combine like terms: x + 3x = 4x 2x + -1(5 + 4x) = 4x + -1 2x + (5 * -1 + 4x * -1) = 4x + -1 2x + (-5 + -4x) = 4x + -1 Reorder the terms: -5 + 2x + -4x = 4x + -1 Combine like terms: 2x + -4x = -2x -5 + -2x = 4x + -1 Reorder the terms: -5 + -2x = -1 + 4x Solving -5 + -2x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -2x + -4x = -1 + 4x + -4x Combine like terms: -2x + -4x = -6x -5 + -6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -6x = -1 + 0 -5 + -6x = -1 Add '5' to each side of the equation. -5 + 5 + -6x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -1 + 5 -6x = -1 + 5 Combine like terms: -1 + 5 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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