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Simplifying (x + 6) = 2(1 + -1x) Reorder the terms: (6 + x) = 2(1 + -1x) Remove parenthesis around (6 + x) 6 + x = 2(1 + -1x) 6 + x = (1 * 2 + -1x * 2) 6 + x = (2 + -2x) Solving 6 + x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + x + 2x = 2 + -2x + 2x Combine like terms: x + 2x = 3x 6 + 3x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 3x = 2 + 0 6 + 3x = 2 Add '-6' to each side of the equation. 6 + -6 + 3x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 2 + -6 3x = 2 + -6 Combine like terms: 2 + -6 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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