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Simplifying 3(9x + 2) + -1(4x + -5) = 0 Reorder the terms: 3(2 + 9x) + -1(4x + -5) = 0 (2 * 3 + 9x * 3) + -1(4x + -5) = 0 (6 + 27x) + -1(4x + -5) = 0 Reorder the terms: 6 + 27x + -1(-5 + 4x) = 0 6 + 27x + (-5 * -1 + 4x * -1) = 0 6 + 27x + (5 + -4x) = 0 Reorder the terms: 6 + 5 + 27x + -4x = 0 Combine like terms: 6 + 5 = 11 11 + 27x + -4x = 0 Combine like terms: 27x + -4x = 23x 11 + 23x = 0 Solving 11 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 23x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 23x = 0 + -11 23x = 0 + -11 Combine like terms: 0 + -11 = -11 23x = -11 Divide each side by '23'. x = -0.4782608696 Simplifying x = -0.4782608696
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