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Simplifying 0.5x + 6 + -2x + 0.5 = 4.5 Reorder the terms: 6 + 0.5 + 0.5x + -2x = 4.5 Combine like terms: 6 + 0.5 = 6.5 6.5 + 0.5x + -2x = 4.5 Combine like terms: 0.5x + -2x = -1.5x 6.5 + -1.5x = 4.5 Solving 6.5 + -1.5x = 4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1.5x = 4.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1.5x = 4.5 + -6.5 -1.5x = 4.5 + -6.5 Combine like terms: 4.5 + -6.5 = -2 -1.5x = -2 Divide each side by '-1.5'. x = 1.333333333 Simplifying x = 1.333333333
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