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Simplifying x + -1(5 + 3x + -1(5x + -1(6 + x))) = -3 x + -1(5 + 3x + -1(5x + (6 * -1 + x * -1))) = -3 x + -1(5 + 3x + -1(5x + (-6 + -1x))) = -3 Reorder the terms: x + -1(5 + 3x + -1(-6 + 5x + -1x)) = -3 Combine like terms: 5x + -1x = 4x x + -1(5 + 3x + -1(-6 + 4x)) = -3 x + -1(5 + 3x + (-6 * -1 + 4x * -1)) = -3 x + -1(5 + 3x + (6 + -4x)) = -3 Reorder the terms: x + -1(5 + 6 + 3x + -4x) = -3 Combine like terms: 5 + 6 = 11 x + -1(11 + 3x + -4x) = -3 Combine like terms: 3x + -4x = -1x x + -1(11 + -1x) = -3 x + (11 * -1 + -1x * -1) = -3 x + (-11 + 1x) = -3 Reorder the terms: -11 + x + 1x = -3 Combine like terms: x + 1x = 2x -11 + 2x = -3 Solving -11 + 2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -3 + 11 2x = -3 + 11 Combine like terms: -3 + 11 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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