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Simplifying 6 + -5(3x + -4) = 2(9 + -6x) Reorder the terms: 6 + -5(-4 + 3x) = 2(9 + -6x) 6 + (-4 * -5 + 3x * -5) = 2(9 + -6x) 6 + (20 + -15x) = 2(9 + -6x) Combine like terms: 6 + 20 = 26 26 + -15x = 2(9 + -6x) 26 + -15x = (9 * 2 + -6x * 2) 26 + -15x = (18 + -12x) Solving 26 + -15x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 26 + -15x + 12x = 18 + -12x + 12x Combine like terms: -15x + 12x = -3x 26 + -3x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 26 + -3x = 18 + 0 26 + -3x = 18 Add '-26' to each side of the equation. 26 + -26 + -3x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 18 + -26 -3x = 18 + -26 Combine like terms: 18 + -26 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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