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Simplifying 0.5x + 6 = 0.75 + -2x Reorder the terms: 6 + 0.5x = 0.75 + -2x Solving 6 + 0.5x = 0.75 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 0.5x + 2x = 0.75 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x 6 + 2.5x = 0.75 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2.5x = 0.75 + 0 6 + 2.5x = 0.75 Add '-6' to each side of the equation. 6 + -6 + 2.5x = 0.75 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 0.75 + -6 2.5x = 0.75 + -6 Combine like terms: 0.75 + -6 = -5.25 2.5x = -5.25 Divide each side by '2.5'. x = -2.1 Simplifying x = -2.1
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