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Simplifying 0.75(6x + -9) = -34 Reorder the terms: 0.75(-9 + 6x) = -34 (-9 * 0.75 + 6x * 0.75) = -34 (-6.75 + 4.5x) = -34 Solving -6.75 + 4.5x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.75' to each side of the equation. -6.75 + 6.75 + 4.5x = -34 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + 4.5x = -34 + 6.75 4.5x = -34 + 6.75 Combine like terms: -34 + 6.75 = -27.25 4.5x = -27.25 Divide each side by '4.5'. x = -6.055555556 Simplifying x = -6.055555556
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