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Simplifying (x + -6) + -1(9 + -2x) = 2 Reorder the terms: (-6 + x) + -1(9 + -2x) = 2 Remove parenthesis around (-6 + x) -6 + x + -1(9 + -2x) = 2 -6 + x + (9 * -1 + -2x * -1) = 2 -6 + x + (-9 + 2x) = 2 Reorder the terms: -6 + -9 + x + 2x = 2 Combine like terms: -6 + -9 = -15 -15 + x + 2x = 2 Combine like terms: x + 2x = 3x -15 + 3x = 2 Solving -15 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 2 + 15 3x = 2 + 15 Combine like terms: 2 + 15 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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