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Simplifying 0.75x + -6.5 = (-0.5) + -0.25x Reorder the terms: -6.5 + 0.75x = (-0.5) + -0.25x -6.5 + 0.75x = -0.5 + -0.25x Solving -6.5 + 0.75x = -0.5 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. -6.5 + 0.75x + 0.25x = -0.5 + -0.25x + 0.25x Combine like terms: 0.75x + 0.25x = 1x -6.5 + 1x = -0.5 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -6.5 + 1x = -0.5 + 0.00 -6.5 + 1x = -0.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + 1x = -0.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 1x = -0.5 + 6.5 1x = -0.5 + 6.5 Combine like terms: -0.5 + 6.5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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