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Simplifying 0.5(x + -2) = -1x + -2 Reorder the terms: 0.5(-2 + x) = -1x + -2 (-2 * 0.5 + x * 0.5) = -1x + -2 (-1 + 0.5x) = -1x + -2 Reorder the terms: -1 + 0.5x = -2 + -1x Solving -1 + 0.5x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 0.5x + x = -2 + -1x + x Combine like terms: 0.5x + x = 1.5x -1 + 1.5x = -2 + -1x + x Combine like terms: -1x + x = 0 -1 + 1.5x = -2 + 0 -1 + 1.5x = -2 Add '1' to each side of the equation. -1 + 1 + 1.5x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5x = -2 + 1 1.5x = -2 + 1 Combine like terms: -2 + 1 = -1 1.5x = -1 Divide each side by '1.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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