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Simplifying 0.5x + 2 = 0.75x + -3 Reorder the terms: 2 + 0.5x = 0.75x + -3 Reorder the terms: 2 + 0.5x = -3 + 0.75x Solving 2 + 0.5x = -3 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 2 + 0.5x + -0.75x = -3 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 2 + -0.25x = -3 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 2 + -0.25x = -3 + 0.00 2 + -0.25x = -3 Add '-2' to each side of the equation. 2 + -2 + -0.25x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -0.25x = -3 + -2 -0.25x = -3 + -2 Combine like terms: -3 + -2 = -5 -0.25x = -5 Divide each side by '-0.25'. x = 20 Simplifying x = 20
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