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Simplifying 2(4x + 1) = 0.5(x + 5) Reorder the terms: 2(1 + 4x) = 0.5(x + 5) (1 * 2 + 4x * 2) = 0.5(x + 5) (2 + 8x) = 0.5(x + 5) Reorder the terms: 2 + 8x = 0.5(5 + x) 2 + 8x = (5 * 0.5 + x * 0.5) 2 + 8x = (2.5 + 0.5x) Solving 2 + 8x = 2.5 + 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. 2 + 8x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 8x + -0.5x = 7.5x 2 + 7.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 7.5x = 2.5 + 0.0 2 + 7.5x = 2.5 Add '-2' to each side of the equation. 2 + -2 + 7.5x = 2.5 + -2 Combine like terms: 2 + -2 = 0 0 + 7.5x = 2.5 + -2 7.5x = 2.5 + -2 Combine like terms: 2.5 + -2 = 0.5 7.5x = 0.5 Divide each side by '7.5'. x = 0.06666666667 Simplifying x = 0.06666666667
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