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Simplifying 0.5(x + -4) = x + 8 Reorder the terms: 0.5(-4 + x) = x + 8 (-4 * 0.5 + x * 0.5) = x + 8 (-2 + 0.5x) = x + 8 Reorder the terms: -2 + 0.5x = 8 + x Solving -2 + 0.5x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 0.5x + -1x = 8 + x + -1x Combine like terms: 0.5x + -1x = -0.5x -2 + -0.5x = 8 + x + -1x Combine like terms: x + -1x = 0 -2 + -0.5x = 8 + 0 -2 + -0.5x = 8 Add '2' to each side of the equation. -2 + 2 + -0.5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -0.5x = 8 + 2 -0.5x = 8 + 2 Combine like terms: 8 + 2 = 10 -0.5x = 10 Divide each side by '-0.5'. x = -20 Simplifying x = -20
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