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Simplifying 2(x + -1) + 0.5(2 + 8x) = 0 Reorder the terms: 2(-1 + x) + 0.5(2 + 8x) = 0 (-1 * 2 + x * 2) + 0.5(2 + 8x) = 0 (-2 + 2x) + 0.5(2 + 8x) = 0 -2 + 2x + (2 * 0.5 + 8x * 0.5) = 0 -2 + 2x + (1 + 4x) = 0 Reorder the terms: -2 + 1 + 2x + 4x = 0 Combine like terms: -2 + 1 = -1 -1 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -1 + 6x = 0 Solving -1 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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