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Simplifying 8 = 0.5(5x + 2) Reorder the terms: 8 = 0.5(2 + 5x) 8 = (2 * 0.5 + 5x * 0.5) 8 = (1 + 2.5x) Solving 8 = 1 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 8 + -2.5x = 1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 8 + -2.5x = 1 + 0.0 8 + -2.5x = 1 Add '-8' to each side of the equation. 8 + -8 + -2.5x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2.5x = 1 + -8 -2.5x = 1 + -8 Combine like terms: 1 + -8 = -7 -2.5x = -7 Divide each side by '-2.5'. x = 2.8 Simplifying x = 2.8
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