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Simplifying (x + -6) + -1(7 + -2x) = 8 Reorder the terms: (-6 + x) + -1(7 + -2x) = 8 Remove parenthesis around (-6 + x) -6 + x + -1(7 + -2x) = 8 -6 + x + (7 * -1 + -2x * -1) = 8 -6 + x + (-7 + 2x) = 8 Reorder the terms: -6 + -7 + x + 2x = 8 Combine like terms: -6 + -7 = -13 -13 + x + 2x = 8 Combine like terms: x + 2x = 3x -13 + 3x = 8 Solving -13 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 8 + 13 3x = 8 + 13 Combine like terms: 8 + 13 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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