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Simplifying 2x + -4 + 0.5(2 + 8x) = 0 2x + -4 + (2 * 0.5 + 8x * 0.5) = 0 2x + -4 + (1 + 4x) = 0 Reorder the terms: -4 + 1 + 2x + 4x = 0 Combine like terms: -4 + 1 = -3 -3 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -3 + 6x = 0 Solving -3 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 0 + 3 6x = 0 + 3 Combine like terms: 0 + 3 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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