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Simplifying 0.5x + 0.33 = 0.2x + -0.17 Reorder the terms: 0.33 + 0.5x = 0.2x + -0.17 Reorder the terms: 0.33 + 0.5x = -0.17 + 0.2x Solving 0.33 + 0.5x = -0.17 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.33 + 0.5x + -0.2x = -0.17 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 0.33 + 0.3x = -0.17 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.33 + 0.3x = -0.17 + 0.0 0.33 + 0.3x = -0.17 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.3x = -0.17 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.3x = -0.17 + -0.33 0.3x = -0.17 + -0.33 Combine like terms: -0.17 + -0.33 = -0.5 0.3x = -0.5 Divide each side by '0.3'. x = -1.666666667 Simplifying x = -1.666666667
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