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Simplifying 0.75x + -0.83 = -0.5x + -4 Reorder the terms: -0.83 + 0.75x = -0.5x + -4 Reorder the terms: -0.83 + 0.75x = -4 + -0.5x Solving -0.83 + 0.75x = -4 + -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. -0.83 + 0.75x + 0.5x = -4 + -0.5x + 0.5x Combine like terms: 0.75x + 0.5x = 1.25x -0.83 + 1.25x = -4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.83 + 1.25x = -4 + 0.0 -0.83 + 1.25x = -4 Add '0.83' to each side of the equation. -0.83 + 0.83 + 1.25x = -4 + 0.83 Combine like terms: -0.83 + 0.83 = 0.00 0.00 + 1.25x = -4 + 0.83 1.25x = -4 + 0.83 Combine like terms: -4 + 0.83 = -3.17 1.25x = -3.17 Divide each side by '1.25'. x = -2.536 Simplifying x = -2.536
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