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Simplifying 0.75x + 0.50 + -1x = 0.50(x + -0.25) Reorder the terms: 0.50 + 0.75x + -1x = 0.50(x + -0.25) Combine like terms: 0.75x + -1x = -0.25x 0.50 + -0.25x = 0.50(x + -0.25) Reorder the terms: 0.50 + -0.25x = 0.50(-0.25 + x) 0.50 + -0.25x = (-0.25 * 0.50 + x * 0.50) 0.50 + -0.25x = (-0.125 + 0.50x) Solving 0.50 + -0.25x = -0.125 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 0.50 + -0.25x + -0.50x = -0.125 + 0.50x + -0.50x Combine like terms: -0.25x + -0.50x = -0.75x 0.50 + -0.75x = -0.125 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 0.50 + -0.75x = -0.125 + 0.00 0.50 + -0.75x = -0.125 Add '-0.50' to each side of the equation. 0.50 + -0.50 + -0.75x = -0.125 + -0.50 Combine like terms: 0.50 + -0.50 = 0.00 0.00 + -0.75x = -0.125 + -0.50 -0.75x = -0.125 + -0.50 Combine like terms: -0.125 + -0.50 = -0.625 -0.75x = -0.625 Divide each side by '-0.75'. x = 0.8333333333 Simplifying x = 0.8333333333
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