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Simplifying 6(4x + 5) = -3(7x + -9) Reorder the terms: 6(5 + 4x) = -3(7x + -9) (5 * 6 + 4x * 6) = -3(7x + -9) (30 + 24x) = -3(7x + -9) Reorder the terms: 30 + 24x = -3(-9 + 7x) 30 + 24x = (-9 * -3 + 7x * -3) 30 + 24x = (27 + -21x) Solving 30 + 24x = 27 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 30 + 24x + 21x = 27 + -21x + 21x Combine like terms: 24x + 21x = 45x 30 + 45x = 27 + -21x + 21x Combine like terms: -21x + 21x = 0 30 + 45x = 27 + 0 30 + 45x = 27 Add '-30' to each side of the equation. 30 + -30 + 45x = 27 + -30 Combine like terms: 30 + -30 = 0 0 + 45x = 27 + -30 45x = 27 + -30 Combine like terms: 27 + -30 = -3 45x = -3 Divide each side by '45'. x = -0.06666666667 Simplifying x = -0.06666666667
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