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Simplifying 0.5x + 4 = 0.66x + 0.5 Reorder the terms: 4 + 0.5x = 0.66x + 0.5 Reorder the terms: 4 + 0.5x = 0.5 + 0.66x Solving 4 + 0.5x = 0.5 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 4 + 0.5x + -0.66x = 0.5 + 0.66x + -0.66x Combine like terms: 0.5x + -0.66x = -0.16x 4 + -0.16x = 0.5 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 4 + -0.16x = 0.5 + 0.00 4 + -0.16x = 0.5 Add '-4' to each side of the equation. 4 + -4 + -0.16x = 0.5 + -4 Combine like terms: 4 + -4 = 0 0 + -0.16x = 0.5 + -4 -0.16x = 0.5 + -4 Combine like terms: 0.5 + -4 = -3.5 -0.16x = -3.5 Divide each side by '-0.16'. x = 21.875 Simplifying x = 21.875
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