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Simplifying 24 + -1(9x + -2) = 6(6x + 3) Reorder the terms: 24 + -1(-2 + 9x) = 6(6x + 3) 24 + (-2 * -1 + 9x * -1) = 6(6x + 3) 24 + (2 + -9x) = 6(6x + 3) Combine like terms: 24 + 2 = 26 26 + -9x = 6(6x + 3) Reorder the terms: 26 + -9x = 6(3 + 6x) 26 + -9x = (3 * 6 + 6x * 6) 26 + -9x = (18 + 36x) Solving 26 + -9x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 26 + -9x + -36x = 18 + 36x + -36x Combine like terms: -9x + -36x = -45x 26 + -45x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 26 + -45x = 18 + 0 26 + -45x = 18 Add '-26' to each side of the equation. 26 + -26 + -45x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + -45x = 18 + -26 -45x = 18 + -26 Combine like terms: 18 + -26 = -8 -45x = -8 Divide each side by '-45'. x = 0.1777777778 Simplifying x = 0.1777777778
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