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Simplifying 0.8(8 + x) + 0.5 = 8.5 (8 * 0.8 + x * 0.8) + 0.5 = 8.5 (6.4 + 0.8x) + 0.5 = 8.5 Reorder the terms: 6.4 + 0.5 + 0.8x = 8.5 Combine like terms: 6.4 + 0.5 = 6.9 6.9 + 0.8x = 8.5 Solving 6.9 + 0.8x = 8.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9' to each side of the equation. 6.9 + -6.9 + 0.8x = 8.5 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + 0.8x = 8.5 + -6.9 0.8x = 8.5 + -6.9 Combine like terms: 8.5 + -6.9 = 1.6 0.8x = 1.6 Divide each side by '0.8'. x = 2 Simplifying x = 2
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