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Simplifying 6 + -0.75x + 0.33 = 0.5x + 5 Reorder the terms: 6 + 0.33 + -0.75x = 0.5x + 5 Combine like terms: 6 + 0.33 = 6.33 6.33 + -0.75x = 0.5x + 5 Reorder the terms: 6.33 + -0.75x = 5 + 0.5x Solving 6.33 + -0.75x = 5 + 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. 6.33 + -0.75x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: -0.75x + -0.5x = -1.25x 6.33 + -1.25x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6.33 + -1.25x = 5 + 0.0 6.33 + -1.25x = 5 Add '-6.33' to each side of the equation. 6.33 + -6.33 + -1.25x = 5 + -6.33 Combine like terms: 6.33 + -6.33 = 0.00 0.00 + -1.25x = 5 + -6.33 -1.25x = 5 + -6.33 Combine like terms: 5 + -6.33 = -1.33 -1.25x = -1.33 Divide each side by '-1.25'. x = 1.064 Simplifying x = 1.064
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