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Simplifying 9(4 + 3x) + -6(5 + 4x) = 0 (4 * 9 + 3x * 9) + -6(5 + 4x) = 0 (36 + 27x) + -6(5 + 4x) = 0 36 + 27x + (5 * -6 + 4x * -6) = 0 36 + 27x + (-30 + -24x) = 0 Reorder the terms: 36 + -30 + 27x + -24x = 0 Combine like terms: 36 + -30 = 6 6 + 27x + -24x = 0 Combine like terms: 27x + -24x = 3x 6 + 3x = 0 Solving 6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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