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Simplifying 0.5x + 0.075 = 2 + -3x Reorder the terms: 0.075 + 0.5x = 2 + -3x Solving 0.075 + 0.5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.075 + 0.5x + 3x = 2 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x 0.075 + 3.5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 0.075 + 3.5x = 2 + 0 0.075 + 3.5x = 2 Add '-0.075' to each side of the equation. 0.075 + -0.075 + 3.5x = 2 + -0.075 Combine like terms: 0.075 + -0.075 = 0.000 0.000 + 3.5x = 2 + -0.075 3.5x = 2 + -0.075 Combine like terms: 2 + -0.075 = 1.925 3.5x = 1.925 Divide each side by '3.5'. x = 0.55 Simplifying x = 0.55
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