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