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Simplifying 8.83 = 0.5x + 5.33 Reorder the terms: 8.83 = 5.33 + 0.5x Solving 8.83 = 5.33 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 8.83 + -0.5x = 5.33 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8.83 + -0.5x = 5.33 + 0.0 8.83 + -0.5x = 5.33 Add '-8.83' to each side of the equation. 8.83 + -8.83 + -0.5x = 5.33 + -8.83 Combine like terms: 8.83 + -8.83 = 0.00 0.00 + -0.5x = 5.33 + -8.83 -0.5x = 5.33 + -8.83 Combine like terms: 5.33 + -8.83 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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