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Simplifying 0.87x + 6 = 0.37x + 14 Reorder the terms: 6 + 0.87x = 0.37x + 14 Reorder the terms: 6 + 0.87x = 14 + 0.37x Solving 6 + 0.87x = 14 + 0.37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.37x' to each side of the equation. 6 + 0.87x + -0.37x = 14 + 0.37x + -0.37x Combine like terms: 0.87x + -0.37x = 0.5x 6 + 0.5x = 14 + 0.37x + -0.37x Combine like terms: 0.37x + -0.37x = 0.00 6 + 0.5x = 14 + 0.00 6 + 0.5x = 14 Add '-6' to each side of the equation. 6 + -6 + 0.5x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = 14 + -6 0.5x = 14 + -6 Combine like terms: 14 + -6 = 8 0.5x = 8 Divide each side by '0.5'. x = 16 Simplifying x = 16
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