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Simplifying 0.5x + 6 = 3 + -2x Reorder the terms: 6 + 0.5x = 3 + -2x Solving 6 + 0.5x = 3 + -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 = 3 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x 6 + 2.5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2.5x = 3 + 0 6 + 2.5x = 3 Add '-6' to each side of the equation. 6 + -6 + 2.5x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 3 + -6 2.5x = 3 + -6 Combine like terms: 3 + -6 = -3 2.5x = -3 Divide each side by '2.5'. x = -1.2 Simplifying x = -1.2
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