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Simplifying 3(4x + -5) + -1(x + 9) = 0 Reorder the terms: 3(-5 + 4x) + -1(x + 9) = 0 (-5 * 3 + 4x * 3) + -1(x + 9) = 0 (-15 + 12x) + -1(x + 9) = 0 Reorder the terms: -15 + 12x + -1(9 + x) = 0 -15 + 12x + (9 * -1 + x * -1) = 0 -15 + 12x + (-9 + -1x) = 0 Reorder the terms: -15 + -9 + 12x + -1x = 0 Combine like terms: -15 + -9 = -24 -24 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x -24 + 11x = 0 Solving -24 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 0 + 24 11x = 0 + 24 Combine like terms: 0 + 24 = 24 11x = 24 Divide each side by '11'. x = 2.181818182 Simplifying x = 2.181818182
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