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Simplifying 0.5 + 0.33x = -0.33x + 1 Reorder the terms: 0.5 + 0.33x = 1 + -0.33x Solving 0.5 + 0.33x = 1 + -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 + 0.33x + 0.33x = 1 + -0.33x + 0.33x Combine like terms: 0.33x + 0.33x = 0.66x 0.5 + 0.66x = 1 + -0.33x + 0.33x Combine like terms: -0.33x + 0.33x = 0.00 0.5 + 0.66x = 1 + 0.00 0.5 + 0.66x = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.66x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.66x = 1 + -0.5 0.66x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 0.66x = 0.5 Divide each side by '0.66'. x = 0.7575757576 Simplifying x = 0.7575757576
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