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Simplifying 3(2x + -8) + 5(x + -9) = 0 Reorder the terms: 3(-8 + 2x) + 5(x + -9) = 0 (-8 * 3 + 2x * 3) + 5(x + -9) = 0 (-24 + 6x) + 5(x + -9) = 0 Reorder the terms: -24 + 6x + 5(-9 + x) = 0 -24 + 6x + (-9 * 5 + x * 5) = 0 -24 + 6x + (-45 + 5x) = 0 Reorder the terms: -24 + -45 + 6x + 5x = 0 Combine like terms: -24 + -45 = -69 -69 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -69 + 11x = 0 Solving -69 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 11x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 11x = 0 + 69 11x = 0 + 69 Combine like terms: 0 + 69 = 69 11x = 69 Divide each side by '11'. x = 6.272727273 Simplifying x = 6.272727273
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