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Simplifying (x + -5) + -1(2 + -2x) = 6 Reorder the terms: (-5 + x) + -1(2 + -2x) = 6 Remove parenthesis around (-5 + x) -5 + x + -1(2 + -2x) = 6 -5 + x + (2 * -1 + -2x * -1) = 6 -5 + x + (-2 + 2x) = 6 Reorder the terms: -5 + -2 + x + 2x = 6 Combine like terms: -5 + -2 = -7 -7 + x + 2x = 6 Combine like terms: x + 2x = 3x -7 + 3x = 6 Solving -7 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 6 + 7 3x = 6 + 7 Combine like terms: 6 + 7 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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