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Simplifying 5 + -0.5x = 0.625x + 2 Reorder the terms: 5 + -0.5x = 2 + 0.625x Solving 5 + -0.5x = 2 + 0.625x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625x' to each side of the equation. 5 + -0.5x + -0.625x = 2 + 0.625x + -0.625x Combine like terms: -0.5x + -0.625x = -1.125x 5 + -1.125x = 2 + 0.625x + -0.625x Combine like terms: 0.625x + -0.625x = 0.000 5 + -1.125x = 2 + 0.000 5 + -1.125x = 2 Add '-5' to each side of the equation. 5 + -5 + -1.125x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1.125x = 2 + -5 -1.125x = 2 + -5 Combine like terms: 2 + -5 = -3 -1.125x = -3 Divide each side by '-1.125'. x = 2.666666667 Simplifying x = 2.666666667
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