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Simplifying 0.5x + -0.5 = 0.75 + 1 + -1x Reorder the terms: -0.5 + 0.5x = 0.75 + 1 + -1x Combine like terms: 0.75 + 1 = 1.75 -0.5 + 0.5x = 1.75 + -1x Solving -0.5 + 0.5x = 1.75 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -0.5 + 0.5x + x = 1.75 + -1x + x Combine like terms: 0.5x + x = 1.5x -0.5 + 1.5x = 1.75 + -1x + x Combine like terms: -1x + x = 0 -0.5 + 1.5x = 1.75 + 0 -0.5 + 1.5x = 1.75 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.5x = 1.75 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.5x = 1.75 + 0.5 1.5x = 1.75 + 0.5 Combine like terms: 1.75 + 0.5 = 2.25 1.5x = 2.25 Divide each side by '1.5'. x = 1.5 Simplifying x = 1.5
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