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Simplifying 0.75x + 0.5 + -1x = 0.5(x + -0.75) Reorder the terms: 0.5 + 0.75x + -1x = 0.5(x + -0.75) Combine like terms: 0.75x + -1x = -0.25x 0.5 + -0.25x = 0.5(x + -0.75) Reorder the terms: 0.5 + -0.25x = 0.5(-0.75 + x) 0.5 + -0.25x = (-0.75 * 0.5 + x * 0.5) 0.5 + -0.25x = (-0.375 + 0.5x) Solving 0.5 + -0.25x = -0.375 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.5 + -0.25x + -0.5x = -0.375 + 0.5x + -0.5x Combine like terms: -0.25x + -0.5x = -0.75x 0.5 + -0.75x = -0.375 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5 + -0.75x = -0.375 + 0.0 0.5 + -0.75x = -0.375 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.75x = -0.375 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.75x = -0.375 + -0.5 -0.75x = -0.375 + -0.5 Combine like terms: -0.375 + -0.5 = -0.875 -0.75x = -0.875 Divide each side by '-0.75'. x = 1.166666667 Simplifying x = 1.166666667
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