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Simplifying 0.5x + 2 = -0.75x + -1 Reorder the terms: 2 + 0.5x = -0.75x + -1 Reorder the terms: 2 + 0.5x = -1 + -0.75x Solving 2 + 0.5x = -1 + -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 = -1 + -0.75x + 0.75x Combine like terms: 0.5x + 0.75x = 1.25x 2 + 1.25x = -1 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 2 + 1.25x = -1 + 0.00 2 + 1.25x = -1 Add '-2' to each side of the equation. 2 + -2 + 1.25x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 1.25x = -1 + -2 1.25x = -1 + -2 Combine like terms: -1 + -2 = -3 1.25x = -3 Divide each side by '1.25'. x = -2.4 Simplifying x = -2.4
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