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Simplifying 0.75x + 2 = -0.75 + -6 Reorder the terms: 2 + 0.75x = -0.75 + -6 Combine like terms: -0.75 + -6 = -6.75 2 + 0.75x = -6.75 Solving 2 + 0.75x = -6.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.75x = -6.75 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75x = -6.75 + -2 0.75x = -6.75 + -2 Combine like terms: -6.75 + -2 = -8.75 0.75x = -8.75 Divide each side by '0.75'. x = -11.66666667 Simplifying x = -11.66666667
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