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Simplifying 6x = 0.5(x + 77) Reorder the terms: 6x = 0.5(77 + x) 6x = (77 * 0.5 + x * 0.5) 6x = (38.5 + 0.5x) Solving 6x = 38.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6x + -0.5x = 38.5 + 0.5x + -0.5x Combine like terms: 6x + -0.5x = 5.5x 5.5x = 38.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5.5x = 38.5 + 0.0 5.5x = 38.5 Divide each side by '5.5'. x = 7 Simplifying x = 7
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