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Simplifying 0.5x + 2 = 0.76x + 2.5 Reorder the terms: 2 + 0.5x = 0.76x + 2.5 Reorder the terms: 2 + 0.5x = 2.5 + 0.76x Solving 2 + 0.5x = 2.5 + 0.76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.76x' to each side of the equation. 2 + 0.5x + -0.76x = 2.5 + 0.76x + -0.76x Combine like terms: 0.5x + -0.76x = -0.26x 2 + -0.26x = 2.5 + 0.76x + -0.76x Combine like terms: 0.76x + -0.76x = 0.00 2 + -0.26x = 2.5 + 0.00 2 + -0.26x = 2.5 Add '-2' to each side of the equation. 2 + -2 + -0.26x = 2.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.26x = 2.5 + -2 -0.26x = 2.5 + -2 Combine like terms: 2.5 + -2 = 0.5 -0.26x = 0.5 Divide each side by '-0.26'. x = -1.923076923 Simplifying x = -1.923076923
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