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Simplifying 0.75x + 6 = 0.5x + -4 Reorder the terms: 6 + 0.75x = 0.5x + -4 Reorder the terms: 6 + 0.75x = -4 + 0.5x Solving 6 + 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. 6 + 0.75x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 6 + 0.25x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.25x = -4 + 0.0 6 + 0.25x = -4 Add '-6' to each side of the equation. 6 + -6 + 0.25x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 0.25x = -4 + -6 0.25x = -4 + -6 Combine like terms: -4 + -6 = -10 0.25x = -10 Divide each side by '0.25'. x = -40 Simplifying x = -40
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