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Simplifying 0.6666666667x + 6 = 0.5x + 0.25x Reorder the terms: 6 + 0.6666666667x = 0.5x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 6 + 0.6666666667x = 0.75x Solving 6 + 0.6666666667x = 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. 6 + 0.6666666667x + -0.75x = 0.75x + -0.75x Combine like terms: 0.6666666667x + -0.75x = -0.0833333333x 6 + -0.0833333333x = 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 6 + -0.0833333333x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.0833333333x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.0833333333x = 0.00 + -6 -0.0833333333x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.0833333333x = -6 Divide each side by '-0.0833333333'. x = 72.00000003 Simplifying x = 72.00000003
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