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Simplifying 0.75x + 0.5 = 0.33x + -0.2 Reorder the terms: 0.5 + 0.75x = 0.33x + -0.2 Reorder the terms: 0.5 + 0.75x = -0.2 + 0.33x Solving 0.5 + 0.75x = -0.2 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 0.5 + 0.75x + -0.33x = -0.2 + 0.33x + -0.33x Combine like terms: 0.75x + -0.33x = 0.42x 0.5 + 0.42x = -0.2 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 0.5 + 0.42x = -0.2 + 0.00 0.5 + 0.42x = -0.2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.42x = -0.2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.42x = -0.2 + -0.5 0.42x = -0.2 + -0.5 Combine like terms: -0.2 + -0.5 = -0.7 0.42x = -0.7 Divide each side by '0.42'. x = -1.666666667 Simplifying x = -1.666666667
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