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Simplifying (6x + -17) + -1(-6x + 9) = 0 Reorder the terms: (-17 + 6x) + -1(-6x + 9) = 0 Remove parenthesis around (-17 + 6x) -17 + 6x + -1(-6x + 9) = 0 Reorder the terms: -17 + 6x + -1(9 + -6x) = 0 -17 + 6x + (9 * -1 + -6x * -1) = 0 -17 + 6x + (-9 + 6x) = 0 Reorder the terms: -17 + -9 + 6x + 6x = 0 Combine like terms: -17 + -9 = -26 -26 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -26 + 12x = 0 Solving -26 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 12x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 12x = 0 + 26 12x = 0 + 26 Combine like terms: 0 + 26 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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