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Simplifying 0.29x + -0.5x = 0.75x + 1 Combine like terms: 0.29x + -0.5x = -0.21x -0.21x = 0.75x + 1 Reorder the terms: -0.21x = 1 + 0.75x Solving -0.21x = 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. -0.21x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: -0.21x + -0.75x = -0.96x -0.96x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.96x = 1 + 0.00 -0.96x = 1 Divide each side by '-0.96'. x = -1.041666667 Simplifying x = -1.041666667
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