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Simplifying 0.75(2x + -7) + 0.5x = -9 Reorder the terms: 0.75(-7 + 2x) + 0.5x = -9 (-7 * 0.75 + 2x * 0.75) + 0.5x = -9 (-5.25 + 1.5x) + 0.5x = -9 Combine like terms: 1.5x + 0.5x = 2x -5.25 + 2x = -9 Solving -5.25 + 2x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + 2x = -9 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 2x = -9 + 5.25 2x = -9 + 5.25 Combine like terms: -9 + 5.25 = -3.75 2x = -3.75 Divide each side by '2'. x = -1.875 Simplifying x = -1.875
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