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Simplifying 6 + -0.5x = 0.25x + 4 Reorder the terms: 6 + -0.5x = 4 + 0.25x Solving 6 + -0.5x = 4 + 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 + -0.5x + -0.25x = 4 + 0.25x + -0.25x Combine like terms: -0.5x + -0.25x = -0.75x 6 + -0.75x = 4 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 6 + -0.75x = 4 + 0.00 6 + -0.75x = 4 Add '-6' to each side of the equation. 6 + -6 + -0.75x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -0.75x = 4 + -6 -0.75x = 4 + -6 Combine like terms: 4 + -6 = -2 -0.75x = -2 Divide each side by '-0.75'. x = 2.666666667 Simplifying x = 2.666666667
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