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Simplifying 0.5[x + -8] = 2[x] Reorder the terms: 0.5[-8 + x] = 2[x] [-8 * 0.5 + x * 0.5] = 2[x] [-4 + 0.5x] = 2[x] Solving -4 + 0.5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 0.5x + -2x = 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -4 + -1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -1.5x = 0 Add '4' to each side of the equation. -4 + 4 + -1.5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1.5x = 0 + 4 -1.5x = 0 + 4 Combine like terms: 0 + 4 = 4 -1.5x = 4 Divide each side by '-1.5'. x = -2.666666667 Simplifying x = -2.666666667
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