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Simplifying 0.5x + -3 = 0.33x + 5 Reorder the terms: -3 + 0.5x = 0.33x + 5 Reorder the terms: -3 + 0.5x = 5 + 0.33x Solving -3 + 0.5x = 5 + 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. -3 + 0.5x + -0.33x = 5 + 0.33x + -0.33x Combine like terms: 0.5x + -0.33x = 0.17x -3 + 0.17x = 5 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 -3 + 0.17x = 5 + 0.00 -3 + 0.17x = 5 Add '3' to each side of the equation. -3 + 3 + 0.17x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 0.17x = 5 + 3 0.17x = 5 + 3 Combine like terms: 5 + 3 = 8 0.17x = 8 Divide each side by '0.17'. x = 47.05882353 Simplifying x = 47.05882353
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