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Simplifying 0.5x + 6 = 0.67x + 0.25x Reorder the terms: 6 + 0.5x = 0.67x + 0.25x Combine like terms: 0.67x + 0.25x = 0.92x 6 + 0.5x = 0.92x Solving 6 + 0.5x = 0.92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.92x' to each side of the equation. 6 + 0.5x + -0.92x = 0.92x + -0.92x Combine like terms: 0.5x + -0.92x = -0.42x 6 + -0.42x = 0.92x + -0.92x Combine like terms: 0.92x + -0.92x = 0.00 6 + -0.42x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.42x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.42x = 0.00 + -6 -0.42x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.42x = -6 Divide each side by '-0.42'. x = 14.28571429 Simplifying x = 14.28571429
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