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Simplifying 0.75x + -0.5 = x + 1.5 Reorder the terms: -0.5 + 0.75x = x + 1.5 Reorder the terms: -0.5 + 0.75x = 1.5 + x Solving -0.5 + 0.75x = 1.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.5 + 0.75x + -1x = 1.5 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -0.5 + -0.25x = 1.5 + x + -1x Combine like terms: x + -1x = 0 -0.5 + -0.25x = 1.5 + 0 -0.5 + -0.25x = 1.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.25x = 1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.25x = 1.5 + 0.5 -0.25x = 1.5 + 0.5 Combine like terms: 1.5 + 0.5 = 2 -0.25x = 2 Divide each side by '-0.25'. x = -8 Simplifying x = -8
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